Question

A bike accelerates uniformly from rest to a speed of 7.10 m $s^{-1}$ over a distance of 35.4 m. Determine the acceleration of the bike.

• A. 0.412 m $s^{-2}$
• B. 0.512 m $s^{-2}$
• C. 0.612 m $s^{-2}$
• D. 0.712 m $s^{-2}$

Answer 1

The correct option is D 0.712 m $s^{-2}$

Given:

Initial velocity $u=0m/s$

Final velocity $v=7.10m/s$

Distance covered $s=35.4m$

Acceleration $a=?$

Using the equation of motion:

$v^2=u^2+2as$

$(7.10{)}^2=0+2a\times 35.4$

$a=\frac{(7.10{)}^2}{2\times 35.4}=0.712m{s}^{-2}$