a) Determine the horizontal and vertical component of the ball's velocity at the starting point. b) Determine the maximum height. c) Determine the time it takes the ball to reach the goalpost. d) Determine the height of the ball when it reaches the goalpost. e) Find when and how far away the height of the ball is at 5m

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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3) A soccer player kicks a ball at an angle of 37° above the horizontal as shown above.
= 10m/s²
Goalpost
25 m/s
7.3m
40m
Sin 37° = 0.60
Cos 37° = 0.80
a) Determine the horizontal and vertical component of the ball's velocity at the
starting point.
b) Determine the maximum height.
c) Determine the time it takes the ball to reach the goalpost.
d) Determine the height of the ball when it reaches the goalpost.
e) Find when and how far away the height of the ball is at 5m
Transcribed Image Text:3) A soccer player kicks a ball at an angle of 37° above the horizontal as shown above. = 10m/s² Goalpost 25 m/s 7.3m 40m Sin 37° = 0.60 Cos 37° = 0.80 a) Determine the horizontal and vertical component of the ball's velocity at the starting point. b) Determine the maximum height. c) Determine the time it takes the ball to reach the goalpost. d) Determine the height of the ball when it reaches the goalpost. e) Find when and how far away the height of the ball is at 5m
Expert Solution
Step 1

the recatngular resolution of a vector gives two components

vhorizonatal component= v cosθ

 vvertical component= v sinθ

maximum height of the trajectory is given by

h=v2sin2θ2g                                           ......(1)

time taken to cover a certain horizontal distance by trajectory

t=distancehorizontal component of velocity   .......(2)

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