A particle is moving along a straight line such that its displacement at any instant is given by,
s1 = αt1 + 2βt + γ
where α, β and γ are constants.
Find the acceleration of the particle.
Given here,
Differentiating (1) w.r.t. t,
Differentiating (2) w.r.t. t,
That is, acceleration of the particle is given by,
This implies,
, is the acceleration of the particle.