A rock is thrown upward with a vertical speed of 35 m/s and a horizontal speed of 12 m/s on
level ground. How far away does it land?

Answer:

R = 85.73 m

Explanation:

It is given that,

The vertical speed of a rock, [tex]v_y=35\ m/s[/tex]

The horizontal speed of a rock, [tex]v_x=12\ m/s[/tex]

We know that,

The vertical speed,

[tex]v_y=v\sin\theta=35\ ....(1)[/tex]

Horizontal speed,

[tex]v_x=v\cos\theta=12\ ....(2)[/tex]

Dividing equation (1) by (2) such that,

[tex]\dfrac{v_y}{v_x}=\dfrac{v\sin\theta}{v\cos\theta}\\\\\dfrac{35}{12}=\tan \theta\\\\\theta=\tan^{-1}(\dfrac{35}{12})\\\\\theta=71.07^{\circ}[/tex]

Let v is the initial velocity of the projection. So,

[tex]v=\sqrt{v_x^2+v_y^2} \\\\v=\sqrt{12^2+35^2} \\\\v=37\ m/s[/tex]

We need to find the distance where it will land i.e. the range of the projectile. It is given by the formula as follows :

[tex]R=\dfrac{v^2\sin2\theta}{g}\\\\\text{Putting all the values, we get }\\\\R=\dfrac{37^2\times \sin(2\times 71.07)}{9.8}\\\\R=85.73\ m[/tex]

So, it will land at a distance of 85.73 m.

you must record your daily work outs on a?
A. activity chary
B. journal
C.calendar
D. fitness log

What is step one of a star called?​

Which waves can travel through space?
OElectromagnetic waves only
OMechanical waves only
OElectromagnetic and mechanical waves O Longitudinal and electromagnetic waves​

If the spring constant is doubled, what value does the period have for a mass on a spring?

Which condition causes a hurricane to rotate?

a local storm surge
the Coriolis effect
several large waves
severe coastal flooding

I NEED HELP WITH THIS PHYSICS QUESTION

Explain the conversion of energy in a roller coaster. Explain how energy is converted

A cat walks 1.5km South and then 2.4km East. What is the total displacement of the cat?

Condensation raises the temperature of the vapor (True or False).

Contact and Non-contact Forces Assignment
Now that you have learned about forces, complete and submit the following assignment.

For the following situations, describe the contact and non-contact forces that are involved.

Situation
Contact Force(s)
Non-Contact Force(s)
A book sitting on a shelf






A soccer player kicking a ball; the ball soaring through the air and landing on the ground






A hiker in the woods reading her compass to determine which direction to go






A child on a sled; first, the child is sitting at the top of the hill, waiting his turn; then, the child pushes off and slides down the hill, eventually coming to a stop.

The speed required of a military jet when taking off from the deck of an aircraft carrier is dependent upon the speed of the carrier and the speed of the wind into which the carrier is moving. The takeoff speed required of a military jet relative to the deck of the carrier is 45 m/s. Determine the acceleration which a military jet must have to take off from the 126-m long runway of the USS Ronald Reagan aircraft carrier.

a toy car that is 0.12 m long is used to model the actions of an actual car that is 6 m long. which ratio shows the relationship between the sizes of the model and the actual car?
a. 50:1
b. 1:50
c. 5:1
d. 1:5

Pick a correct term to fill in the blank: kgm/s2, pounds, tons, kg
One Newton equals 0.225

A crate is sliding down an inclined ramp at a constant speed of 0.55 m/s. The vector sum of all the forces acting on this crate must point down the ramp. True or false?

Kim sees a dog jump onto the road. Her response time before she hits the brakes is 0.3 seconds. How far will her car travel during her response time if she is moving at 20 m/s?

One cell performs 120 oscillations per minute, the other 240. What will be the ratio of their lengths ( I translated it sorry for mistakes)​

If the vector below is multiplied by 2, what will be its end point? 5 A. (-6,8) B. (6,8) C. (-6,4) D. (-3,4) SUBMIT E PREVIOUS O re to search​

which is the hottest planet

1. Martha bought a six pack of soda on Thursday. She promised her neighbor, Mr. Jimmy, that she would save the cans for him. What are they doing to help our ecosystem?

All indicate that the universe is

A) rotating.
B) expanding.
C) shrinking.
D) at equilibrium.

could you guys tell me whether the photo represents a balanced or unbalanced equation​

Which set of experimental conditions would result in the least amount of force on the egg?
a. Drop a small egg from a height of 1 meter into a box of foam.
b. Drop a jumbo egg from a height of 10 meters on a hard surface.
c. Drop a jumbo egg from a height of 10 meters onto 1-inch foam.
d. Drop a small egg from a height of 1 meter into a box of foam.
e. Drop a small egg from a height of 10 meter into a box of foam.

The weight of a boy having a mass of 50 kg is __N.
???

A bicyclist is initially traveling at 3 m/s. The bicyclist accelerates at 1 m/s2 for 5 seconds.

a. What is the bicyclist’s final velocity?

b. What is the distance traveled?
(Whoever answers first will be marked the brainliest)

Neutrons have ____
- have positive charge
- are found in the nucleus
- orbit outside the atom
- are a special type of element

Complete the sentence to explain when waves interact.
Waves interact with
and other

Please help me! I will give brainiest answer to whoever responds within 5 minutes

what is food poisoning ?​

How do we detect the cosmic microwave background radiation?

A rock is thrown downwards from the edge of the Grand Canyon. With what velocity will it hit the donkey-riding tourist who is 40 m below?​

What is necessary for a metallic bond to form?

The atoms should be in close proximity.
The atoms should be far apart.
The electrons must be attracted to each other.
The nuclei must contain neutrons.