The displacement of particle is given by x=a₀+ a₁ t 2 - a₂ t^2 3 What is its acceleration?

Step-by-step solution

Key Idea : Acceleration is the rate of change of velocity and velocity is the rate of change of displacement. The displacement equation is given by x=a₀+ a₁ t 2 - a₂ t^2 3 Velocity = rate of change of displacement ie, v= d x d t aligned & = d d t (a₀+ a₁ t 2 - a₂ t^2 3 ) & =0+ a₁ 2 - 2 a₂ t 3 & = a₁ 2 - 2 a₂ t 3 aligned Acceleration = rate of change of velocity i e , aligned a & = d v d t & = d d t ( a₁ 2 - 2 a₂ 3 t ) & =0- 2 a₂ 3 & =- 2 a₂ 3 aligned