Aparticle moves with velocity function v(t) = 2t2 - 3t - 3, with v measured in feet per second and t measured in seconds. find the acceleration of the particle at time t = 2 seconds. (4 points) a. 3/4 ft/s^2 b. -1 ft/s^2 c. 32ft/s^2 d. 5 ft/s^2

d. 5 ft/s^2

Step-by-step explanation:

The acceleration is the derivative of the velocity.

In this problem, we have the velocity function

So the acceleration function is:

.

Find the acceleration of the particle at time t = 2 seconds

This is a(2). So:

.

The correct answer is

d. 5 ft/s^2