Question

A car accelerates from rest at 3m/s2 along a straight road. How far has the car travelled after 4s?

Answer 1

Answer on Question 65983, Physics, Mechanics

Question:

A car accelerates from rest at $3\,m/s^2$ along a straight road. How far has the car travelled after 4 s?

Solution:

We can find the distance travelled by the car after 4 s from the kinematic equation:

$$d = v_0 t + \frac{1}{2} a t^2,$$

here, $d$ is the distance travelled by the car, $v_0$ is the initial velocity of the car (since the car accelerates from rest it will be equal to zero), $a$ is the acceleration of the car and $t$ is the time.

Then, we get:

$$d = \frac{1}{2} a t^2 = \frac{1}{2} \cdot 3 \frac{m}{s^2} \cdot (4\,s)^2 = 24\,m.$$

Answer:

$$d = 24\,m.$$

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