Question

Two balls A and B of masses 1 kg and 2 kg respectively are thrown vertically upwards with the same initial speed. The ratio of the maximum height reached by them

Answer 1

Answer: 1:1

Explanation:

The height these objects will reach is determined by their mass.

So they will reach the same height.

Mathematically,

u₁ (Initial Velocity) = u₂ = -u (Assume)

a₁ (acceleration) = a₂ = -g

v₁ (Final Velocity) = v₂ = 0

By v² = u² + 2as,

0² = (-u)² + 2(-g)s

0² = (-u)² + 2(-g)s

For both cases,

u² = 2gs

s = u²/2g

Hence the ratio is 1:1