The position of a particle moving along a straight line at any time t is given by s(t) = t² + 4t + 4. What is the acceleration of the particle when t = 4?

Solution:

It is given that

s(t) = t² + 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/s² 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) = t² + 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) = t² + 4t + 4. The acceleration of the particle when t = 4 is 2 m/s².