# The position of a particle moving along a straight line at any time t is given by s(t) = t^{2} + 4t + 4. What is the acceleration of the particle when t = 4?

**Solution:**

It is given that

s(t) = t^{2} + 4t + 4

Velocity can be found by differentiating it

v = dS/dt

v = 2t + 4

Acceleration can be found by differentiating velocity

dv/dt = 2

Therefore, the acceleration of the particle is 2 m/s^{2} for all the values of t.

## The position of a particle moving along a straight line at any time t is given by s(t) = t^{2} + 4t + 4. What is the acceleration of the particle when t = 4?

**Summary:**

The position of a particle moving along a straight line at any time t is given by s(t) = t^{2} + 4t + 4. The acceleration of the particle when t = 4 is 2 m/s^{2}.

Math worksheets and

visual curriculum

visual curriculum