(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.) xi = 0     yi = γ0     (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi,x =  m/s vi,y =  m/s (c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.)

Question

From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.60 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later.

(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.)
xi =
0
 
 
yi =
γ0
 
 

(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.
vi,x =  m/s
vi,y =  m/s

(c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.)
x =
 
 
 
 m
y =
 
 
 
 m

(d) How far horizontally from the base of the building does the ball strike the ground?
 m

(e) Find the height from which the ball was thrown.
 m

(f) How long does it take the ball to reach a point 10.0 m below the level of launching?
 s

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Kinematics

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