A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of  v0 = 17.0 m/s.  The cliff is h = 47.0 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.

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

v0 = 17.0 m/s.

 The cliff is h = 47.0 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 =
17.0
 
 
 
vy =
−(q·s02)t
 
 
 

(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 =
(17.0)t
 
 
 
y =
12​gt
 
 
 

(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
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