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Alexandra [31]
3 years ago
7

A person standing at the edge of a seaside cliff kicks a stone, horizontally over the edge with a velocity of 18 m/s. The cliff

is 52 m above the waters surface
A. How long does it take for the stone to fall to the water
B. What is the vertical velocity component of the stone just before it hits the water
C. What is the horizontal velocity component of the stone just before it hits the water
D. What is the total velocity of the stone just before it hits the water ?
Physics
1 answer:
madreJ [45]3 years ago
6 0

<u>Answer:</u>

A) The time taken by the stone to reach the ground will be 3.257 Seconds

B) The Initial vertical velocity will be zero

 C) The horizontal velocity doesn’t change, so it remains the same i.e., 18m/s.

D) The total velocity of the stone just before it hits the water is 36.645 m/s.

A)<u>Explanation :</u>

When the stone is kicked, there are two components act on the stone. One is in the horizontal direction, and the other in downward vertical direction.

Also Initial vertical component of velocity will be zero as the stone is kicked horizontally.

So, the time taken will be given by applying Newton’s Equation of Motion

Or, y=v_{i} t+\frac{1}{2} g t^{2}

Where y = vertical downward distance

v_i=initial vertical velocity=0 m/s

t = time taken to reach the ground

Substituting the values in the above equation, we find

-52 = 0 + \frac{-9.8 \times t^{2}}{2}

or, t^2= \frac{-52 \times 2}{-9.8}

or, t =\sqrt{\frac{1040}{98}}  = 3.257 s

B) Explanation

The Initial vertical velocity will be zero as the stone is kicked horizontally

C)Explanation

The horizontal velocity component is not under the influence of gravity, so it remains the same, and moves constant velocity horizontally.

D)  Explanation

We will firstly find the final vertical velocity using one of the equations of motion

v_f= \mathrm{v}_{\mathrm{i}}+\mathrm{at}^{2}

Substituting the values in the above equation, we find

v_f =0-9.8 \times 3.257=-31.92 m/s

Now, Total Velocity (v) is given by

v = \sqrt{v_{x}^{2}+v_{y}^{2}}

where,

v_x= Horizontal velocity

v_y= Vertical velocity

Substituting the values in the above equation, we find

v = \sqrt{18^{2}+31.92^{2}}= 36.645 m/s

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When a body changes its speed at a constant rate, i.e. same changes take same times, then it has a constant acceleration. The acceleration can be positive or negative. In the first case, the speed increases, and in the second time, the speed lowers until it eventually stops. The equation for the speed vf at any time t is given by

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The train has two different types of motion. It first starts from rest and has a constant acceleration of 0.987 m/s^2 for 182 seconds. Then it brakes with a constant acceleration of -0.321 m/s^2 until it comes to a stop. We need to find the total distance traveled.

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