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A student stands at the edge of a cliff and throws a stone horizontally over the

ID: 586014 • Letter: A

Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 22.5 m/s. The cliff is h = 52.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0 =_____m. y0 =_____m. (b) What are the components of the initial velocity? v0x =____m/s. v0y =_____m/s. (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx =____. vy = _____. (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x =____. y = ____. (e) How long after being released does the stone strike the beach below the cliff? ___s. (f) With what speed and angle of impact does the stone land? vf = ____m/s. = ____° below the horizontal

Explanation / Answer

Here ,

v0 = 22.5 m/s

h = 52 m

a) for the initial position of stone

x0 = 0 m

y0 = 52 m

b)

for the components of initial velocity

v0x = 22.5 m/s

v0y = 0 m/s

c)

after the time t

Vx = 22.5 - 0 * t m/s

Vy = -9.8 * t m/s

d)

for the position

x = Vx * t

x = 22.5 * t

for y

y =-0.5 * a * t^2

y = -0.5 * 9.8 * t^2

y = 4.9 * t^2