Question

A car is travelling at 20 m/s. It accelerates uniformly at 3 m/S2 for 5 s. What is the distance the car travels while it is accelerating?

Answer 1

To find the distance the car travels while accelerating, we can use the kinematic equation:

$d=v_{i}t+\frac{1}{2}a{t}^2$

where: $d$ is the distance traveled, $v_i$ is the initial velocity, $a$ is the acceleration, and $t$ is the time.

Given: $v_i=20\text{m/s}$, $a=3{\text{m/s}}^2$, and $t=5\text{s}$.

Substituting these values into the equation, we have:

$d=(20\text{m/s})(5\text{s})+\frac{1}{2}$