A motorbike is travelling at 30m/s on a motorway. If the bike must stop in 5s, what will be the acceleration of the motorbike?
Question
A motorbike is travelling at 30m/s on a motorway. If the bike must stop in 5s, what will be the acceleration of the motorbike?
Solution
To find the acceleration, we can use the formula for acceleration which is:
a = Δv / Δt
where: a is acceleration, Δv is the change in velocity, and Δt is the change in time.
In this case, the motorbike is going from 30m/s to 0m/s in 5 seconds. So, the change in velocity (Δv) is 30m/s - 0m/s = 30m/s.
The change in time (Δt) is 5 seconds.
Substituting these values into the formula gives:
a = 30m/s / 5s = 6m/s²
So, the acceleration of the motorbike is -6m/s². The negative sign indicates that this is a deceleration, i.e., the motorbike is slowing down.
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