Find maximum horizontal range

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A ball is thrown with an initial speed vi at an angle θi with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.

(a) the time interval during which the ball is in motion

t=   

(b) the ball's speed at the peak of its path

v=   

(c) the initial vertical component of its velocity

yi=   

(d) its initial speed

vi=   

(e) the angle θi

θi=   

(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.

hmax=   

(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.

xmax=

Reference no: EM131834166

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