Question

Suppose that a ball is thrown straight up into the air and its height after t second is 4 + 48t - 16t^2 meters. Determine how long it will take for the ball to reach its maximum height and determined the maximum height.

Answer 1

4 + 48 t - 16t ^ 2 is a parabola and the maximum height is reached at its top. t₀=(-48/-32)=1.5 seconds will take the rise to the maximum height. To find the maximum height you need to substitute this time in the formula: h_m=4+48*1.5-(16*2.25)=40 meters.

Answer: t₀=1.5 seconds; h_m=40 meters.