Question

A car is stopped at a red light. When the light turns green, the car accelerates until it reaches a final velocity of 45 m/s. It takes the car 12 s to reach this speed. How far does the car travel during this time.

Answer 1

The distance covered by the car is 270 m

Explanation:

The motion of the car is a motion at constant acceleration, so we can use the following suvat equation:

$s=(\frac{u+v}{2})t$

where

s is the distance travelled

u is the initial velocity

v is the final velocity

t is the time taken

For the car in this problem,

u = 0

v = 45 m/s

t = 12 s

Solving for s, we find the distance covered by the car:

$s=\frac{0+45}{2}(12)=270 m$

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