Question

find the acceleration of an object at t= 3seconds if it's displacement is given by s=tcube + 4t​

Answer 1

Answer :

Displacement of object is given by

• s = t³ + 4t

We have to find acceleration of object at t = 3s$.$

★ Instantaneous velocity :

In order to find instantaneous velocity, we have to differentiate the displacement equation with respect to time.

➝ v = ds/dt

➝ v = d(t³ + 4t)/dt

➝ v = 3t² + 4

★ Instantaneous acceleration :

In order to find instantaneous acceleration, we have to differentiate the velocity equation with respect to time.

➝ a = dv/dt

➝ a = d(3t² + 4)/dt

➝ a = 6t

By substituting t = 3, we get

➝ a = 6(2)

➝ a = 12 m/s²