Question

A certain freely falling object, released from rest, requires 1.60 s to travel the last 29.0 m before it hits the ground. (a) Find the velocity of the object when it is 29.0 m above the ground. (Indicate the direction with the sign of your answer. Let the positive direction be upward.)

Answer 1

-10.277 m/s

Step-by-step explanation:

t = Time taken = 1.6 s

s = Distance travelled = 29 m

u = Initial velocity

a = Acceleration due to gravity = 9.81 m/s²

`s=ut+(1)/(2)at^2\\\Rightarrow -29=u* 1.6-(1)/(2)9.81* 1.6^2\\\Rightarrow -29+(1)/(2)9.81* 1.6^2=u1.6\\\Rightarrow -16.4432=u1.6\\\Rightarro u=(-16.4432)/(1.6)=-10.277\ m/s`

∴ Velocity of the object when it is 29.0 m above the ground is -10.277 m/s