Question

A car initially at rest undergoes uniform acceleration for 6.32 seconds and covers a distance of 120 meters. What is the approximate acceleration of the car?

Answer 1

Answer on Question #57758-Physics-Mechanics-Relativity

A car initially at rest undergoes uniform acceleration for 6.32 seconds and covers a distance of 120 meters. What is the approximate acceleration of the car?

Solution

$$v = u + a t.$$

The initial velocity $u$ is zero. Hence,

$$v = a t.$$

We also know that:

$$v^2 = u^2 + 2 a s$$ $$v^2 = 2 a s$$ $$(at)^2 = 2 a s$$ $$a = \frac{2 s}{t^2} = \frac{2 \cdot 120}{6.32^2} = 6 \frac{m}{s^2}.$$

Answer: $6 \frac{m}{s^2}$.