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/6. In terms of R and g, find the following. (a) the time interval during which the ball is in motion t = √ 4R 3g Correct: Your answer is correct. (b) the ball's speed at the peak of its path v = √ 3gR 4 Correct: Your answer is correct. (c) the initial vertical component of its velocity yi = √ gR 3 Correct: Your answer is correct. (d) its initial speed vi = √ 13gR 12