Question

A motorcycle accelerates from 10. m/s to 25 m/s in 5.0 seconds. What is the average acceleration of the bike?

A. 3.0 m/s/s
B. 5.0 m/s/s
C. 15 m/s/s
D. 25 m/s/s

Answer 1

Explanation: Option (A) is the correct answer.

The data is given as follows.

Initial velocity
`(v_(i))` = 10 m/s, final velocity
`(v_(f))` = 25 m/s.

Initial time
`(t_(i))` = 0 seconds, final time
`(v_(t))` = 5 seconds.

The formula to calculate average acceleration is as follows.

Average acceleration =
`(v_(f) - v_(i))/(t_(f) - t_(i))`

=
`((25 - 10)m/s)/((5 - 0)s)`

=
`(15)/(5)`

= 3 m/s/s

Thus, we can conclude that the average acceleration of the bike is 3 m/s/s.

Answer 2

If a motorcycle accelerates from 10 m/s to 15 m/s in 5 seconds, the average acceleration of the bike is 3 m/s/s. This only means that the motorcycle’s velocity will increase 3 m/s every second. You need to divide 15 m/s which is the difference of 10 and 25 to 5 seconds.