Question

A motorcyclist increases the velocity of his bike from 30.0 meters/second to 55.0 meter/second under a constant acceleration of 5.00 meters/second^2. How long does it take the bike to reach the final velocity?

Answer 1

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 30m/s

Final velocity = 55m/s

Acceleration = 5m/s²

To find the time, we would use the first equation of motion;

`V = U + at`

Where;

• V is the final velocity.

• U is the initial velocity.

• a is the acceleration.

• t is the time measured in seconds.

Making time, t the subject of formula, we have;

`t = (V - U)/(a)`

Substituting into the equation, we have;

`t = (55-30)/(5)`

`t = (25)/(5)`

Time, t = 5 seconds.

Therefore, it would take the bike 5 seconds to reach the final velocity.