How long does a ball take to fall from a roof to the ground 7 m below?

1 Answer
May 7, 2018

See below

Explanation:

If we assume that there is no air resistance and the only force acting on the ball is that of gravity, we can use the equation of motion:

s=ut+(1/2)at^(2)

s=distance travelled
u=initial velocity (0)
t=time to travel given distance
a=acceleration, in this case a=g,the acceleration of free fall which is 9.81 ms^-2

Hence:
7=0t + (1/2)9.81t^2

7=0+4.905t^2

7/(4.905)=t^2

t approx 1.195 s

So it takes barely a second for the ball to hit the ground from that height.