An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at a height 100 m. What is the difference in their heights after 2 s if both the objects drop with same accelerations? How does the difference in heights vary with time?

let h₁=150m and h₂=100m

Then, the difference in height h=(150-100)m=50 m

Distance travelled by first body in 2s is given as,

Distance=ut + at²

Now, if the Initial speed(u) = 0(when the object was at rest)

Ans, the time, t =2s

So, by substituting the values, we get,

S = 0 +g× (2)²

S = 0 +g× 4

S = 0 +× 9.8 × 4

S = 19.6 m

So, After 2s, the height of the first object, h₁=150-19.6

So, After 2s height of the second object, h₂=100-19.6

Thus, after 2s difference of height= h₁ - h₂ (150-19.6) - (100-19.6) =50 m

So, after 2s difference height will be 50 m = initial difference in height

Thus, the difference in height of the object will remain same because the height does not vary with time.