reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 47 m in a straight line, reaching a final speed of 78 km/h.
(a) Determine the cheetah's average acceleration during the short sprint. m/s²
(b) Find its displacement at t = 3.1 s. (Assume the cheetah maintains a constant acceleration throughout the sprint.)
Answers
(a) The cheetah's average acceleration during the short sprint is 5.67 m/s²
(b) The displacement of the cheetah after the given time is 94.42 m.
Average acceleration of the cheetah
The average acceleration of the cheetah is calculated as follows;
v² = u² + 2as
where;
u is initial velocity = 78 km/h = 21.67 m/s
v is the final velocity = 114 km/h = 31.67 m/s
31.67² = 21.67² + 2(47)a
31.67² = 21.67² + (94)a
94a = (31.67² - 21.67²)
a = (31.67² - 21.67²)/94
a = 5.67 m/s²
Displacement of the cheetahs = ut + ¹/₂at²
s = (21.67 x 3.1) + ¹/₂(5.67)(3.1²)
s = 94.42 m
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Related Questions
A cannon sends a projectile towards a target a distance 1270 m away. The initial velocity makes an angle 26◦ with the horizontal. The target is hit. The acceleration of gravity is 9.8 m/s^2. How high is the highest point of the trajectory?
(Note the magnitude of the initial velocity is 125.6749804)
Answers
The maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.
What is Projectile Motion?
Projectile motion is a form of motion experienced by an object or particle that is projected near earth's surface and moves along a curved path under the action of gravity only.
Given is a projectile projected towards a target a distance 1270 m away. Initial velocity of the projectile is 125.6 m/s and makes an angle 26° with the horizontal.
The vertical component of the initial velocity →
u[y] = 125.6 sin(26°) = 125.6 x 0.44 = 55.26 m/s.
The horizontal component of the initial velocity →
u[x] = 125.6 cos(26°) = 125.6 x 0.89 = 111.78 m/s
Horizontal distance covered →
h[x] = 1270 m
Time taken to travel the horizontal range →
t = h[x] / u[x]
t = 1270 / 111.78 = 11.36 seconds
The time at which the height is maximum →
t [max] = 11.36/2 = 5.68 s
Using Newton's second law of motion for vertical direction -
S[y] = u[y] t + 1/2 a[y] t²
At t = t [max], the vertical height will be maximum -
S[y] (max) = 55.26 x 5.68 - 1/2 x 9.8 x 5.68 x 5.8 =
S[y] (max) = 313.87 - 158.08
S[y] (max) = 155.79 meters.
Hence, the maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.
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Explain how the water cycle follows the conservation of mass. Use details to support your response.
Answers
The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.
What is conservation of mass?Conservation of mass follows a rule which states that mass is neither created nor destroyed in chemical reactions. This simply means that for every chemical reaction, the mass of an element as a reactant will be the same at the end of the reaction.
From the given image, it can be observed that water can change its state from solid, liquid or gas in various phase transitions. These include the following:
Sublimation: Water changes from solid to gasDeposition: Water changes from gas to solid.Condensation: Here, water changes from Gas to liquid.Evaporation: Here, water changes from Liquid to gas.Melting: Here, water changes from Solid to liquid. Freezing: Here, water changes from liquid to solid.pTherefore, the water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.
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Answer:
The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed..
Explanation:
3. Sami pops a helium balloon at a birthday
party. What will happen to the particles of
helium that were in the balloon? sc.8.P.8.1
A The particles will disappear.
B The particles will move together.
The particles will spread out evenly
within the room.
The particles will stick together and sink
to the floor.
Answers
The particles of helium that were in the balloon will spread out evenly within the room.
When Sami pops a helium balloon at a birthday party then the particles of helium will just mix with air. The helium gases lighter dense than the air.
Air consists mostly of nitrogen and oxygen but there are also some traces of carbon dioxide and noble gases in air, and helium is one of those noble gases.
Helium -
It is a chemical element with the symbol of He. Its atomic no. is two. It is used for medicine, scientific research, refrigeration, gas for aircraft aircraft. It is a noble gas.The particles of helium that were in the balloon will spread out evenly within the room.
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PLEAZE HELP
round correctly
Answers
b) 1.21 cm
c) 1.25 cm
b) 1.21 cm
c) 1.25 cm
A book had 250 J of potential energy when it is on a shelf that is 4.2 m high. What is the mass of the book?
Answers
An elevator moves upward while increasing speed. Which of the following statements comparing the force of the cable on the elevator T and the weight of the elevator W is correct?
Answers
Explanation- T and W are inversely related on the elevators y-axis, T pointing up and W (mass of object multiplied by gravity) pointing down. When T+W=0, the object would not be moving. Since the elevator is moving up, T must be a larger force since it neglects W and moves up. Therefore F=T-W
Answer:
See below
Explanation:
Downward force = weight = mg where g = accel of gravity 9.81 m/s ^2
the tension force acting UPWARD to cause the elevator to accelerate upward is F = T=m(a+g) where ' a ' is the UPWARD acceleration ...the tension must be equal to
the weight of the object + mass of object* acceleration
The position of a squirrel running in a park is given by r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. At t = 4.00 s , how far is the squirrel from its initial position?
Answers
The position vector is obtained as r = 1.12 k + 0.58 i + 1.22 j.
What is the position?Let us consider the movement of the squirrel. We know that the position of the squirrel is defined by the equation; r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. We can see that this equation is what defines the position of the squirrel in the three cartesian dimensions as shown in the question.
We now have the position as required at the instant where t = 4.00 s being obtained as; r⃗ =[(0.280m/s)(4)+(0.0360m/s2)(4^2) ]i+(0.0190m/s3)(4)^3j. We now finally obtain the position of the body as required as being;
r = 1.12 k + 0.58 i + 1.22 j
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HELP ASAP
Referring to the map of the temperature field in the room, what was the largest variation in temperature?
1.) 2 degrees
2.) 4 degrees
3.) 1 degree.
4.) none of the above
Answers
57.2c would be the answer i believe
Rannie travelled by train from New York to New Jersey She travels 350 kilometers to the north. But, then the track turns back to south 125 kilometers. Calculate Radha's total displacement using displacement formula?
Answers
Answer:
225 km north
Explanation:
Displacement = 350 km north + 125 km south
= 350 km north - 125 km north
= 225 km north
A man , standing on the top of Tower , throws vertically a ball , with initial velocity of 15 m/s. Assuming that, the coordinates of the inertial reference is attached to the hand of the man, such that the origin coincides with the center of his hand, a) What is the equation describing the motion of the ball
Answers
The equation describing the motion of the ball is determined as 15t + 4.9t².
What is equation of motion?This is the equation that describes the motion of an object is known as equation of motion.
The equation describing the motion of the ball is determined as follows;
y = vt + ¹/₂gt²
where;
y is the vertical height of fallt is the time of motiong is acceleration due to gravity = 9.8 m/s²y = 15t + 4.9t²
Thus, the equation describing the motion of the ball is determined as 15t + 4.9t².
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Michael Jordan had the longest hang time record of all NBA players. It was because he:
A- was lighter in weight
B- threw the ball with higher precision
C- did not jump till he was below the hoop
D- jumped up with a faster speed
Answers
Cliff divers at Acapulco jump into the sea from a
cliff 30.1 m high. At the level of the sea, a rock
sticks out a horizontal distance of 13,06 m. The
acceleration of gravity is 9.8m/s². With what
minimum horizontal velocity must the cliff divers
leave the top of the cliff if they are to miss the
rock?
Answers
Theacceleration of gravity is 9.8m/s² so velocity = 5.269.
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
A body or item will have a pressure equivalent to atmospheric pressure when the external pressure pressing on it ceases to exist. In this instance, point A is under some pressure from the liquid. The pressure at point A becomes equal to atmospheric pressure when we tilt the container.
Given, h= 30.1 m
x = 13.06 m
g = 9.8
h = 1/2 gt^2
x = v √(2h)/g
13.06 = v √(2)(30.1)/9.8
13.06 = v (2.47847879613)
13.06 / 2.47847879613 = v
v = 5.269.
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Which term applies to what happens to visible light when it interacts with transparent glass?
Answers
The term is scattering of lights when visible light interacts with transparent glass.
Light interacts with glass atoms when it strikes any surface, even transparent ones, causing it to change direction repeatedly. This process is known as the scattering of light. While some light is reflected throughout the process, the majority of light passes through the glass.
The shorter the wavelength and the higher the frequency, the stronger the scattering due to the wave shape of the lines and their intersections with the particles. The more wavy lines you have, the more likely they are to intersect with a particle. On the other hand, the longer the wave, the lower the frequency, the straighter it is, and the less likely it is to hit the particle.
The curvature of color light is visible during the day because of the refraction of light and total internal reflection. Waves of sunlight produce different colors in different directions. The Rayleigh scattering theory is based on the red color of the sun in the morning and the blue color of the sky.
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Describe how you can tell if an object is accelerating by observing its motion. Be sure to cover all cases.
Answers
If object is changing its direction or speed of the object is changing then the object is said to be accelerating
Acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing.
If an object is changing its velocity -whether the velocity is changing by a constant amount or by a varying amount a constant amount - then it is an accelerating object.
Since, acceleration is a vector quantity and vector quantity have both magnitude and direction , this implies that if the body is changing its direction then also the object is said to be accelerating.
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An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
Answers
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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Which technique is used to check the meaning of certain nonverbal behaviors of the
speaker?
1) reflecting
O2) questioning
3) validating
4) looking away
Answers
Answer:
2
Explanation:
answer to the question is written up
The technique that is used to check the meaning of certain nonverbal behaviors of the speaker is looking away. The correct option is 4.
What is nonverbal behavior?Nonverbal communication refers to the transmission of messages or signals via nonverbal platforms such as eye contact, facial expressions, gestures, posture, and body language.
It entails using social cues, kinesics, distance and physical environments/appearance, voice, and touch.
Nonverbal communication methods include your posture, facial expressions, and eye contact. We all use these cues in everyday conversation, even if unconsciously.
When people are thinking, hesitating, or speaking in a non-fluent manner, they tend to look away.
This behavior most likely serves two purposes. The first is to psychologically protect themselves from the embarrassment of being judged for not proceeding.
Thus, the correct option is 4.
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It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then...
Answers
It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.
What is output force?Output force is the force exerted on an object by a simple machine.
If the output force is greater than the input force, the mechanical advantage is greater than 1.
The mechanical advantage ratio is output force divided by input force. The larger the mechanical advantage, the easier it is to do work.
Mathematically, the output force of a simple machine is given as;
output force = load x distance moved by load
Thus, it takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.
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I don’t get how to answer this question
Answers
The frequency of the radiation is 3.27×10⁻¹⁴ Hz.
What is frequency of a wave?The frequency of a wave is the number of complete oscillation made by that wave in one seconds. The S.I unit of frequency is Hertz
To calculate the frequency of the radiation, we use the formula below.
Formula:
f = v/λ.................... Equation 1Where:
f = Frequency of the radiationv = Velocity of the radiationλ = Wavelength of the radiationFrom the question,
Given:
v = 3.00×10⁸ m/sλ = 9.17×10⁻⁷ mSubstitute these values into equation 1
f = 3.00×10⁸/9.17×10⁻⁷f = 3.27×10⁻¹⁴ HzHence, the frequency of the radiation is 3.27×10⁻¹⁴ Hz.
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The circuit diagram below shows the locations of four switches. Which switch configuration creates a short circuit?
Answers
Answer:
A
Explanation:
When switches 1 and 2 are 'on' or 'closed' the circuit becomes a short
At the beginning of the 100 meter dash, a runner accelerates at a rate of 5 m/s 2 until he reaches his maximum speed of 10 m/s . How long does it take him to reach his maximum speed?
Answers
Answer:
V = a * t for uniform values
t = V / a = 10 m/s / (5 m/s^2) = 2 sec
At a certain temperature, a rod is hung from an aluminium frame. A small gap exists between the rod and the floor. The frame and rod are heated uniformly. Explain whether the rod will ever touch the floor, assuming that the rod is made from (a) aluminium and (b) lead.
Answers
Answer:
The aluminum rod will never touch the floor since both the frame and the rod expand at the same rateThe lead rod will touch the floor if both frame and rod are heated long enough since the coefficient of linear expansion of lead is greater than the coefficient of linear expansion of aluminumExplanation:
What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank reads 23 psig?
Answers
The depth of water in the tank is determined as 16.2 m.
What is hydrostatic pressure?Hydrostatic pressure is the pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.
The hydrostatic pressure of the water column is calculated as follows;
P = ρgh
where;
ρ is density of the waterg is acceleration due to gravityh is vertical height or depth of the waterh = P/ρg
The given parameters;
Pressure of the water, P = 23 psig = 158579 N/m²g is acceleration due to gravity = 9.8 m/s²ρ is density of water = 1000 kg/m³h = (158579) / (1000 x 9.8)
h = 16.2 m
Thus, the depth of water in the tank is determined as 16.2 m.
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A net force of 75 pounds acts on a body of 25 slugs. The body is initially at rest. What is its acceleration during the action of the force?
Answers
The correct answer is 0.91 m/[tex]s^2[/tex].
The pace at which a body increases its velocity is what is meant by the phrase "acceleration." It always moves in the same direction as the body when it moves.
The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.
Force F = 75 ponds = 33.62 N
initial velocity y =0
mass m = 25 slungs = 364.848 kg
time t = 12s
Acceleration of the body,
Acceleration = F/m
Acceleration = 333.62/364.848
Acceleration = 0.91 m/[tex]s^2[/tex]
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Do you think that something can freeze when it is hot? Why or why not?
Answers
Answer:
yes
Explanation:
because if you put a hot object in a cold place the energy from the hot object transfers to the cold air around it and will eventually get such a low temperature that it freezes.
In science, volume may be measured in
O centimeters
O milliliters
O kilograms
O kilometers
Answers
Answer: milliliters
Explanation:
centimeters and kilometers are measurements of length/distance. Kilogram is a measurement of weight, and millimeters is a measure of how much space an object takes up.
Which of the following statements are possibly true about an object that is accelerating?
I. It is slowing down
II. It is changing directions at a constant speed
III. It is changing directions while slowing down
Question 10 options:
I only
I, II, and III
I and III only
II and III only
Answers
Answer:
II and III only
Explanation:
All III of those are true
please help ! it’s not the last one <3
Answers
Answer:
I think it's initial vertical velocity but I may be wrong
Which of the following must happen in order for atoms to bond either ionically or covalently with one another?
A The valence shells of all atoms must be filled after the bonding occurs
b The chemical properties of the atoms must be satisfied
c The ions must have different charges
d The resulting compound must follow ionic naming conventions
Answers
Which of the following must happen in order for atoms to bond either ionically or covalently with one another?
a: The valence shells of all atoms must be filled after the bonding occurs
In order for atoms to bond either ionically or covalently with one another the valence shells of all atoms must be filled after the bonding occurs.
What is an atom?An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.
The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.
Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.
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What has to be done to nitrogen to make it turn into a liquid?
Answers
Answer: Hot weather concreting
Liquid nitrogen has also been used as a method for cooling concrete for over twenty years. ...
LN is produced by compressing and cooling nitrogen gas to a point below its evaporation point of about − 196 °C [− 320 °F].
Explanation:
under what conditions do plasma exist .?
Answers
The plasma exists in the condition of the excited state of matter.
The atmosphere stops being made of gas at a height of about 80 kilometers above the surface of the Earth. Instead, it is composed of ionized gas, which has a balanced ratio of neutral particles, positive ions, and electrons. The name of this state is plasma.
Despite being referred to as the "fourth state of matter," many astrophysicists believe it to be the "first" state because it was the first to form right after the Big Bang.
Energy is required to remove electrons from atoms in order to create plasma. Different types of energy, such as heat, electricity, or light, are possible (ultraviolet light or intense visible light from a laser). Plasmas combine back into neutral gas due to insufficient sustaining power.
Therefore the plasma state of matter exist in energized form and required energy to continue existing which can be provided by many source and form of energy.
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