Question

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/8. 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 =

Answer 1