A particle moving along the x-axis has a position given by x = (24t – 2.0t 3 ) m, where t is measured in s. What is the magnitude (m/s2 ) of the acceleration of the particle when the particle is not moving?

Explanation:

Given,

A particle moving along the x-axis has a position given by

m      ........ (1)

To find, the magnitude ( ) of the acceleration of the particle when the particle is not moving = ?

Differentiating equation (1) w.r.t, 't', we get

⇒     ....... (2)

⇒

⇒

⇒ t = 2 s

Again, differentiating equation (2) w.r.t, 't', we get

Put t = 2, we get

Thus, the magnitude 24 ( ) of the acceleration of the particle when the particle is not moving.