Question

How far does a car travel as it accelerates from rest to 24 m/s in 6 seconds?

Answer 1

Answer:

$\boxed{\sf Distance \ travelled = 72 \ m}$

Given:

Initial velocity (u) = 0 m/s (Starts from rest)

Final velocity (v) = 24 m/s

Time taken (t) = 6 seconds

To Find:

Distance travelled by car (s)

Explanation:

From equation of motion of object moving with uniform acceleration in straight line we have:

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

By substituting value of v, u & t in the equation we get:

$\sf \implies s = ( \frac{24 + 0}{2} ) \times 6 \\ \\ \sf \implies s = \frac{24}{2} \times 6 \\ \\ \sf \implies s = 12 \times 6 \\ \\ \sf \implies s = 72 \: m$

$\therefore$

Distance travelled by car (s) = 72 m