Question

A rock thrown straight up takes 4.2 s to reach its maximum height what was its initial velocity

Answer 1

Consider the upward direction of motion as positive and downward direction of motion as negative.

a = acceleration due to gravity in downward direction = - 9.8
`(m )/(s^(2))`

v₀ = initial velocity of rock in upward direction = ?

v = final velocity of rock at the highest point = 0
`(m )/(s)`

t = time to reach the maximum height = 4.2 sec

Using the kinematics equation

v = v₀ + a t

inserting the values

0 = v₀ + (- 9.8) (4.2)

v₀ = 41.2
`(m )/(s)`