Question

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

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

v0 = 17.5 m/s.

The cliff is h = 26.0 m above a flat, horizontal beach as shown in the figure.

A student stands on the edge of a cliff with his hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up from the ground to the top of the cliff. The origin O of the coordinate plane is directly below the student's hand where the base of the cliff meets the flat ground. The student throws a stone horizontally rightward with initial velocity vector v0. The stone falls with a parabolic trajectory, hitting the ground with a velocity vector v that points down and right. Vector g points straight down.

(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 θ = ° below the horizontal

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