Question

Two bodies a of mass 1kg and b of mass 3 kg are dropped from height 16 and 25 respectively the ratio of the time taken by them to reach the ground is

Answer 1

Answer:4:1

Explanation:Let the time be t1 and t2.As their motion does not depend on the mass and the bodies fall with acceleration a=10(assuming downward direction as positive)

u=0

Then for body 1=

As the acceleration is constant

S=ut1 +1/2*a*t1^2

16=0+1/2*10*t1^2

t1^2=16/5

t1=4/✓5

Similarly for t2

S=ut2+1/2*a*t2^2

25=0+1/2*10*t2^2

t2^2=5

t2=✓5

t1/t2=(4/✓5)/✓5=4/5=4:5