Question

A car accelerates at a rate of 2.0 m/s2 from rest. what is the displacement?

Answer 1

Answer on Question #39570, Physics, Other

Question:

A car accelerates at a rate of $2.0 \, \text{m/s}^2$ from rest. What is the displacement?

Answer:

Velocity for uniformly accelerated motion equals:

$$v = a t$$

where $a$ is acceleration, $t$ is time.

Displacement equals:

$$d = \int_{0}^{t} v(t') dt' = \int_{0}^{t} a t' dt' = \frac{a t^2}{2} = \frac{2 \frac{m}{s^2}}{2} t^2 = t^2 \left(\frac{m}{s^2}\right)$$

Answer: $t^2 \left(\frac{m}{s^2}\right)$