Dr. Storr challenged a student to kick a soccerball across a 42, 900.0 nm wide c

Question

Dr. Storr challenged a student to kick a soccerball across a 42, 900.0 nm wide canyot is at the same height on both sides. The student kicked the ball with all his He strength which was placed at the edge of the canyon and achieved an initial velocity m/s at an angle of 39.0 degree. Perform the calculations to see if the ball makes it to the other side. How max or long of the canyon does it travel? Calculate the time of flight of the ball in seconds. Determine the maximum height of the ball in meters.

Explanation / Answer

a)

consider the vertical motion of the ball

Voy = initial velocity in Y-direction = Vo Sin39

ay = acceleration = - 9.8

Y = vertical displacement = 0            

t = time of travel

using the equation

Y = Voy t + (0.5) ay t2

0 = (Vo Sin39) t + (0.5) (-9.8) t2

t = Vo Sin39/49

consider the horizontal motion of the ball

Vox = initial velocity in X-direction = Vo Cos39

ax = acceleration = 0

X = horizontal displacement           

t = time of travel = Vo Sin39/49

using the equation

X = Vox t + (0.5) ax t2

X = (Vo Cos39) (Vo Sin39/49)

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