Chapter 2.5, Problem 2.5TYU

If you toss a ball upward with a certain initial speed, it falls freely and reaches a maximum height h a time t after it leaves your hand. (a) If you throw the ball upward with double the initial speed, what new maximum height does the ball reach? (i) $h\sqrt{2}$; (ii) 2h; (iii) 4h; (iv) 8h; (v) 16h. (b) If you throw the ball upward with double the initial speed, how long does it take to reach its new maximum height? (i) t/2; (ii) $t/\sqrt{2}$; (iii) t; (iv) $t\sqrt{2}$; (v) 2t.