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
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