A projectile is fired with a horizontal velocity of 20 mfs and a vertical velocity of 45
6. What is the magnitude of its original velocity vector?
7. How long will the projectile be in the air?
8. What is its range?

Answers

Answer 1

Answer:

6. 49.2 m/s

7. 9.18 s

8. 184 m

Explanation:

6. Use Pythagorean theorem.

v₀² = v₀ₓ² + v₀ᵧ²

v₀² = (20 m/s)² + (45 m/s)²

v₀ = 49.2 m/s

7. Given:

Δy = 0 m

v₀ᵧ = 45 m/s

aᵧ = -9.8 m/s²

Find: t

Δy = v₀ᵧ t + ½ aᵧt²

(0 m) = (45 m/s) t + ½ (-9.8 m/s²) t²

0 = 45t − 4.9t²

0 = t (45 − 4.9t)

t = 9.18 s

8. Given:

v₀ₓ = 20 m/s

aₓ = 0 m/s²

t = 9.18 s

Find: Δx

Δx = v₀ₓ t + ½ aₓt²

Δx = (20 m/s) (9.18 s) + ½ (0 m/s²) (9.18 s)²

Δx = 184 m


Related Questions

Mishael walks 30 meters East, turns around and walks 25 meters West, then turns again and walks 50 meters East. What is his displacement? Group of answer choices 5 meters East 105 meters East 5 meters West 55 meters East

Answers

Answer:

55 meters East

Explanation:

if you start at the origin, "add" 30 meters (going east #1), subtract 25 meters (going west #1), then add 50 meters (going east #2), you should get 55 meters East.

Hope this helps!

how does radiant energy transfer energy?

Answers

Answer:

Radiant energy, energy that is transferred by electromagnetic radiation, such as light, X-rays, gamma rays, and thermal radiation, which may be described in terms of either discrete packets of energy, called photons, or continuous electromagnetic waves.

Explanation:

giving brainlist What is ONE modern example OR historical example of a country that had representative government

Answers

Answer:

Canada

Explanation:

What is the acceleration of a 1,125 kg truck with a net force of 8,268 N?

Answers

Answer:

The answer is 7.35 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

where

f is the force

m is the mass

From the question

f = 8268 N

m = 1125 kg

We have

[tex]a = \frac{8268}{1125} \\ =7.3493 3333...[/tex]

We have the final answer as

7.35 m/s²

Hope this helps you

A cars momentum is p when it’s traveling with a velocity of v. If the velocity of that car doubles, what is the new momentum of the car

Answers

Answer:

2p

Explanation:

I just did it

Answer:

2p

Explanation: just did it in Edgen

Which of the following motion dots represent an object undergoing free-fall in a vacuum?
A. A
B. B
C. C

Answers

C


C js the answer for your question

Given the vector A with components Ax = 2.00, Ay = 6.00, the vector B with components Bx = 2.00, By = 22.00, and the vector D = A - B, calculate the magnitude and angel with the x axis of the vector D

Answers

Answer:

The magnitude of vector d is 16 and the angle with the x-axis is 270°

Explanation:

Operations With Vectors

Given two vectors in rectangular components:

[tex]\vec a=(ax,ay)\ ,\ \vec b=(bx,by)[/tex]

The sum of the vectors is:

[tex]\vec a+\vec b=(ax+bx,ay+by)[/tex]

The difference between the vectors is:

[tex]\vec a-\vec b=(ax-bx,ay-by)[/tex]

The magnitude of [tex]\vec a[/tex] is:

[tex]|\vec a|=\sqrt{ax^2+ay^2}[/tex]

The angle [tex]\vec a[/tex] makes with the horizontal positive direction is:

[tex]\displaystyle \tan\theta=\frac{ay}{ax}\\[/tex]

The question provides the vectors:

[tex]\vec a=(2,6)[/tex]

[tex]\vec b=(2,22)[/tex]

[tex]\vec d=\vec a-\vec b[/tex]

Calculate:

[tex]\vec d=(2,6)-(2,22)=(0,-16)[/tex]

The magnitude of [tex]\vec d[/tex] is:

[tex]|\vec d|=\sqrt{0^2+(-16)^2}=\sqrt{0+256}=16[/tex]

The angle is calculated by:

[tex]\displaystyle \tan\theta=\frac{-16}{0}[/tex]

The division cannot be calculated because the denominator is zero. We need to estimate the correct angle by looking at the components of the vector. Since the x-coordinate is zero and the y-coordinate is negative, the vector points downwards (south), thus the angle must be -90° or 270° if the range goes from 0° to 360°.

The magnitude of vector d is 16 and the angle with the x-axis is 270°

Students are studying the two-dimensional motion of objects as they move through the air. Specifically, they are examining the behavior of a sphere that is launched horizontally from a location above the floor with an initial velocity vo in the +3 direction, as shown in the figure. The students assume that the positive directions are along the sphere's initial velocity for horizontal motion and downward for vertical motion.

The horizontal displacement of the object from its starting point is x, and the vertical displacement of the object from its starting point is y. One of the students derives an equation for y in terms of xx and other quantities. After examining the equation, the student claims that y is proportional to x^2.

Required:
Derive an equation for the vertical coordinate y of the sphere as a function of x, v0, and physical constants, as appropriate.

Answers

Answer:

   y = - (½ g / v₀²)   x²

Explanation:

This is a projectile launch exercise where there is no acceleration on the x-axis so

        x = v₀ₓ t

        v₀ₓ = v₀ cos tea

        y = [tex]v_{oy}[/tex] t - ½ g t2

        v_{oy} = v₀ sin θ

as the sphere is thrown horizontally, the angle is tea = 0º, so the initial velocity remains

          v₀ₓ = v₀

           v_{oy} = 0

we substitute in our equations

          x = v₀ t

          y = - ½ g t²

we eliminate the time from these equations, we substitute the first in the second

      y = - ½ g (x / v₀)²

      y = - (½ g / v₀²)   x²

this is the equation of a parabola

16. How much does the gravitational potential
energy of a 1.2 kg textbook increase if you lift it
upward 32 cm?

Answers

Answer:

El uso mas común de la energía potencial gravitacional, se da en los objetos cercanos a la superficie de la Tierra donde la aceleración gravitacional, se puede presumir que es constante y vale alrededor de 9.8 m/s2.

Explanation:

Which exoplanet has the most Earth-like orbit?​

Answers

Answer: Kepler-452b

I think

hope it helps

a box is at rest and a force of 250N is applied to it.If the frictional force is 200N determine the net force

Answers

Answer:

50N

Explanation:

the net force is the addition of all forces in an object.

The frictional force is the opposite of the applied force, so:

Nf(net force)= 250(applied force)-200(frictional force)

so Nf=50N

Which television show (non-sporting event) had the highest television ratings in the last year?


Source

Answers

'The Masked Singer' source: hollywoodreporter.com

A capacitor is made up by placing two metal plates of surface area (6.000x10^-6)
m^2 and separated a distance (5.0000x10^-4) m. Between the plates you use a
dielectric of dielectric constant (2.00x10^0). Find the energy stored in this capacitor
when connected to a (2.0000x10^0) V battery, using scientific notation, with 3
significant figures.Note: Your answer is assumed to be reduced to the highest power possible.

Answers

Answer: You should not cheat during tests

Explanation: This is your professor.

Mr. Jorge Millan O.

14. Which of the following denotes impedance?
A. H
B. R
C. Z
D. XL

Answers

Answer: The answer is A. H

1) How many people can be on a basketball team?

2) How many people can be on the court at a time?

3) List the dimensions of the court listed in the video (Length and Width)

4) How many points does a freethrow count for?

5) How many seconds does a team get to shoot the ball before a shot clock violation?

Answers

Answer:

it can be up to 15 ppl

ur team can be on a court

width

28 I believe

less then 10 seonds

Please solve step by syep

Answers

Answer:

0.258 +- 0.0162

Explanation:

First change the uncertainty to percentage uncertainty :

%uncertainty =uncertainty /estimated value *100

0.1/51.6 * 100=0.19%

Do the same for the rest you will get:

0.1%, 1%, 5%

Then add the %uncertainties

0.19% + 0.1% + 1% +5%=6.29%

Find density:

51.6/10 * 100 * 0.20 = 0.258

Change the %percentage uncertainty to absolute uncertainty :

Absolute uncertainty = %uncertainty * the answer

6.29/100 * 0.258 = 0.0162

Answer = 0.258 +- 0.0162

After rounding:

0.26 +- 0.02

Read the following scenario and decide if it is a hypothesis, theory or law.
Sue is camping and decides to drop a rock off a cliff. She finds a small rock, drops it.
and notes that it takes approximately two seconds to land. She then finds a somewhat
larger rock and concludes that the bigger rock should take less than two seconds to
land because it is bigger.

Answers

Answer:

Law

Explanation:

This is newton's second law of motion.

The correct answer is law

A boat is going upstream at a force of 50N East and a current, on the stream, is moving West
at 37N. What is the force acting on the boat?

Answers

Answer:

23N

Explanation:

50-37 = 23

what is the probability that a measurement of the energy at time t will yield the result h^2pi^2/2ml^2

Answers

Answer:

The probability is [tex]\dfrac{1}{2}[/tex]

Explanation:

Given that,

The energy at time t will yield the result [tex]h^2pi^2/2ml^2[/tex]

Suppose, At time t = 0 the normalized wave function for a particle of mass m in the one-dimensional infinite well is given by,

[tex]V(x)={0 0<x<L,\ \infty\ elsewhere[/tex]

The normalized wave function is,

[tex]\psi(x)=\dfrac{1+i}{2}\sqrt{\dfrac{2}{L}}\sin\dfrac{\pi x}{L}+\dfrac{1}{\sqrt{2}}\sqrt{\dfrac{2}{L}}\sin\dfrac{2\pi x}{L}\ 0<x<L, 0\ elsewhere[/tex]

What is the probability that a measurement of the energy at time t will yield the result h^2 pi^2/2mL^2?

We need to find the probability

Using given data

[tex]probability=(\dfrac{1+i}{2})(\dfrac{1-i}{2})[/tex]

[tex]probability=\dfrac{1-i^2}{4}[/tex]

[tex]probability=\dfrac{1+1}{4}[/tex]

[tex]probability=\dfrac{1}{2}[/tex]

Hence, The probability is [tex]\dfrac{1}{2}[/tex]

Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equation F=Gm1m2r2, where F is the magnitude of the gravitational attraction on either body, m1 and m2 are the masses of the bodies, rrr is the distance between them, and G is the gravitational constant. In SI units, the units of force are kg⋅m/s2, the units of mass are kg, and the units of distance are mm. For this equation to have consistent units, the units of G must be which of the following?
A. kg3m⋅s2
B. kg⋅s2m3
C. m3kg⋅s2
D. mkg⋅s2

Answers

Answer:

C m³/kgs²

Explanation:

From the question, we know that

F = Gm1m2/R², where

F = the Force of gravity in N.

G = gravitational constant, in Nm²/kg²

m1 = mass in kg

m2 = mass in kg

R = distance between the objects in m

Now, if we substitute the units of each in the formula, we have

N = G * (kg * kg) / m²

N = G (kg²) / m²

Nm² = G kg², remember, N itself is kgm/s², so we substitute for that

Kgm/s² * m² = G kg²

Kgm³/s² = G kg²

G = (kgm³/s²) / kg²

G = m³/kgs²

And that's our answer

3. A stuntman jumps off a building (into a safety mat). If he falls for 5 seconds, what
will his velocity be right before he hits the mat? (please include direction)
Givens (include all variables and units. Ex. vi=5m/s, d=60miles)

Answers

the answer is vi=47m/s, d=7miles

ANSWERED: Which action will cause the induced current to decrease or remain constant?
*zoom in answer to remove computer lines*

Answers

Answer:

Reversing the polarity of the magnet

Explanation:

The action that will cause the induced current to decrease or remain constant is "reversing the polarity of the magnet"

To reverse the polarity, a battery and coil of copper can be used. Reversing the polarity of the magnet will also cause the induced current to reverse in direction. The polarity of the magnet actually determines the direction of the electromagnetic force.

An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.
_________ m/s

Answers

Answer:

81.02m/s toward the southeast

Explanation:

use Pythagorean theorem

c^2=a^2+b^2

create a coordinate system, 79m/s toward the east and 18m/s toward the south.

root(79^2+18^2)=81.02

Strontium has neutrons

Answers

Answer:

strontium has 50 neutrons

Answer:

the answer is 50 hope it helps =)

Explanation:

Data Table 2: Distance from the Sun
Planet Name
Distance from Sun (m)
Saturn
1
1.43 x 102
Jupiter
7.79 x 101
Mars
2.28 x 10"
Neptune
4.50 x 102
1. What is the gravitational force between the Sun and each of the 4 planets listed from
the solar system?

Answers

Answer:

hfwf2f2f2ff2fefwgwfe

While making some observations at the top of the 63 m tall Astronomy tower, Ron
accidently knocks a 0.5 kg stone over the edge. How fast will the stone be moving when
it hits the ground?

Answers

Analysing the Question:

We are given:

height of the tower (h) = 63 m

mass of stone (m) = 0.5 kg

initial vertical velocity of the stone (u) = 0 m/s  [ since the stone fell, there was no force applied on it to go downwards]

final vertical velocity of the stone (v) = v m/s

acceleration of the stone due to gravity (a) = 10 m/s²    [we are letting g = 10]

** We will be neglecting air resistance in this answer**

Finding the final velocity of the stone:

from the third equation of motion

v² - u² = 2ah

replacing the variables

v² - (0)² = 2(10)(63)

v² = 1260

v = √1260

v = 35.5 m/s

6. What is the formula for calculating the average velocity of a moving object?
9. Average velocity = Ad + ar
b. Average velocity = Ad/AT
c. Average velocity At Ad
d. Average velocity - Adan

Answers

Answer: A/ average velocity=d/t

Explanation:

The average velocity is the displacement divided by change in time Thus it can be written as Ad/At. Hence, option b is correct.

What is velocity?

Velocity of an object is the rate of change of  speed of that object. Mathematically it is the ratio of total displacement to the time taken to travel.

Velocity = Displacement/time.

Let a body travelling a distance within a time t have an initial velocity and then changes to a new final velocity then, the measure of net velocity is called its average velocity.

Suppose v1 be the initial velocity and v2 be the final velocity to move a distance d at a time t, then the average velocity is written as follows:

v2 - v1 = d/t.

Therefore, average velocity is written in terms of average distance travelled and change in time thus, option b is correct.

To find more about velocity, refer the link below:

https://brainly.com/question/18084516

#SPJ2

A coconut falls from a height of 18m to the ground. What is the velocity at which the coconut hits the ground?
[Given g = 10m/s]

Answers

Answer:

v=18.97 m/s

Explanation:

the equation for the above question is v²=u²+2as

The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of t1 = 0.5 s. The force as a function of time is given by F(t) = ať+ b, where a = –28 N/s2 and b = 7.0 N. The momentum of the t-shirt will be its initial momentum (po 0) plus its change in momentum due to the applied impulse: pf = po+SET+ F(t) dt. By applying the given time dependent function for F(t) and performing the integration, which of the following is the correct expression for Pf?
a) tl tl Pf= 0++)16
b) 0+*+*+b)
c) 0+++bt) 0++) ti

Answers

Answer:

Follows are the solution to this question:

Explanation:

By checking the value in which we have calculated by performing its differentiation of [tex]\frac{a}{3}t^3+bt[/tex], the correct form of its integer value is calculating  with regard to t, that also provides as expected [tex]at^2+b = F(t)[/tex].

A football player kicks a ball with an initial velocity of 30 meters per second at an angle of 53° above the horizontal. how long will the ball be in the air for

Answers

At time t, the ball attains a height y of

y = (30 m/s) sin(53º) t - 1/2 g t²

where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.

Solve for t when y = 0:

(30 m/s) sin(53º) t - 1/2 g t² = 0

t ((30 m/s) sin(53º) - (4.90 m/s²) t ) = 0

t = 0   or   (30 m/s) sin(53º) - (4.90 m/s²) t = 0

We ignore the first solution, since that refers to the moment the ball is kicked.

(30 m/s) sin(53º) - (4.90 m/s²) t = 0

(30 m/s) sin(53º) = (4.90 m/s²) t

t = (30 m/s) sin(53º) / (4.90 m/s²)

t ≈ 4.9 s

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