Answer to Question #131340 in Physics for will

Question

A car is moving with a constant velocity of 8 and then accelerates at a rate of 2 m/s/s for 3 seconds. Determine the displacement (in whole meters) of the car during its acceleration.

Answer 1

The displacement of the car is given by the kinematic law:

$$d = v_0t + \dfrac{at^2}{2}$$

where $v_0 = 8m/s$ is the initial velocity, $a = 2m/s^2$ is the acceleration rate and $t = 3s$ is time. Thus, obtain:

$$d = 8\cdot 3 + \dfrac{2\cdot 3^2}{2} = 33 m$$

Answer. 33 m.