Question

The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velocity​

Answer 1

initial velocity = 64 m/s

Explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity =
`(dH)/(dt)` = 64 - 32t

Initial velocity (u) is when t = 0:

u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s