A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 20.5 m/s. The cliff is h = 34.0 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 habove a flat stretch of ground below the clifftop. The +x-axisextends 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 gpoints 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 =

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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 = 20.5 m/s.

 The cliff is h = 34.0 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 habove a flat stretch of ground below the clifftop. The +x-axisextends 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 gpoints 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
? = ° below the horizontal

 

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