Question

A student drops a ball from a height of 97.0m. If the ball increases speed at a uniform rate of 10.0m/s^2, determine all unknowns and answer the following questions.
How long did the ball remain in the air?

What was the balls speed just before striking the ground?

Answer 1

given :

h = 97.0 m

g = 10.0m/s²

find:

a) t

b) Vt

solutions:

a)

h = ½.g.t²

97 = ½. 10.t²

97 = 5.t²

t² = 97/5 = 19.4

t =√19.4 = 4.4

the ball will remain in the air

for 4.4 s

b)

Vt = g. t

= 10 × 4,4

= 44 m/s

the balls speed before striking the ground

= 44 m/s