Answer to Question #83750 in Mechanics | Relativity for Ushna

Question

A body starting from rest and moving with constant acceleration covers 20m in the first second. The distance travelled by it in 2ND second is :

Answer 1

Answer on Question #83750, Mechanics/Relativity

A body starting from rest and moving with constant acceleration covers 20m in the first second. The distance travelled by it in 2ND second is :

Solution

x₁ = v₀ t + 1/2 (at²)

where x₁ = 20m, v = 0, t= 1 s

Find a:

20 = 0*1 + 1/2 *(a*1²)

a=40 m/s²

Find how far will the body move after time t= 2s

x₂ = v₀ t + 1/2 (at²)

where v = 0, t= 2 s, a = 40 m/s²

x₂= 0*2 + 1/2 * (40*2²)

x₂= 80 m

Find the distance trevelled by a body in the 2ND second:

x= x₂ - x₁ = 80m -20 m = 60 m

Answer: 60 m