A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of
v_{0} = 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 v_{0}. 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?
x_{0} | = | m |
y_{0} | = | m |
(b) What are the components of the initial velocity?
v_{0x} | = | m/s |
v_{0y} | = | 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.)
v_{x} | = | |
v_{y} | = |
(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?
v_{f} |
= | m/s |
θ | = | ° below the horizontal |
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