Question

Acceleration: How long will it take a cyclist

witha forward acceleration of -.50 m/s2 to bring a bicycle with
aninitial farward velocity of 13.5 m/s to a complete stop?

Answer 1

It will take 27 seconds for a cyclist to stop completely.

Step-by-step explanation:

Initial velocity of the cyclist= u = 13.5 m/s

Acceleration of the driver = a =
`-0.50 m/s^2`

Final velocity of the cyclist = v = 0

Duration of time in which 13.5 m/s velocity is changed to 0 = t = ?

Using first equation of motion:

v = u + at

`0 =13.5 m/s+(-0.50 m/s^2)* (t)`

`-13.5 m/s=-0.50 m/s^2* t`

`t=(-13.5 m/s)/(-0.50 m/s^2)=27 s`

It will take 27 seconds for a cyclist to stop completely.