Question

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

Answer 1

`\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)

Step-by-step explanation:

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

`\boxed{ \bold{s = ((v + u)/(2) )t}}`

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

`\sf \implies s = ( (24 + 0)/(2) ) * 6 \\ \\ \sf \implies s = (24)/(2) * 6 \\ \\ \sf \implies s = 12 * 6 \\ \\ \sf \implies s = 72 \: m`

`\therefore`

Distance travelled by car (s) = 72 m