Question

A bicyclist starts at rest and speeds up to 30 m/s while accelerating at 4 m/s^2. Determine the distance traveled.

Answer 1

Distance, d = 112.5 meters

Step-by-step explanation:

Initially, the bicyclist is at rest, u = 0

Final speed of the bicyclist, v = 30 m/s

Acceleration of the bicycle,
`a=4\ m/s^2`

Let s is the distance travelled by the bicyclist. The third equation of motion is given as :

`v^2-u^2=2as`

`s=(v^2-u^2)/(2a)`

`s=((30)^2)/(2* 4)`

s = 112.5 meters

So, the distance travelled by the bicyclist is 112.5 meters. Hence, this is the required solution.