Question

If the initial speed of the ball is tripled, how does the maximum height change? if the initial speed of the ball is tripled, how does the maximum height change? the maximum height increases by a factor of nine. the maximum height increases by a factor of three. the maximum height increases by a factor of 1.7 (square root of 3).

Answer 1

Formula for the maximum height:
h = v i² / 2 g
If the initial speed is tripled:
h 1 = ( 3 v i )² / 2 g
h 1 = 9 v i² / 2 g = 9 h
Answer:
A ) the maximum height increases by a factor of 9.