Question
A football player punts the ball at a 45.0o
angle. Without an effect from the wind, the ball would
travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its
maximum height it experiences a brief gust of wind that reduces its horizontal velocity by
1.50 m/s. What total distance does the ball travel horizontally?
angle. Without an effect from the wind, the ball would
travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its
maximum height it experiences a brief gust of wind that reduces its horizontal velocity by
1.50 m/s. What total distance does the ball travel horizontally?
Answers
bobpursley
without wind:
hf=hi+vo*t-1/2 g t^2
hf, hi =0
time t= sqrt(2vSin45)/g)
distance horizontal=vo*cos45*t
60=vo*.707*sqrt(2vo*.707/9.8)
solve for vo.
Then, the wind gust: time in the air is the same, so distance=t/2*vo .707+t/2(vo*.707-1.5)
hf=hi+vo*t-1/2 g t^2
hf, hi =0
time t= sqrt(2vSin45)/g)
distance horizontal=vo*cos45*t
60=vo*.707*sqrt(2vo*.707/9.8)
solve for vo.
Then, the wind gust: time in the air is the same, so distance=t/2*vo .707+t/2(vo*.707-1.5)
4.78
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