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A motorboat starting from rest on a lake...

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of `3.0 m//s^(2)` for `8.0 s`. How far does the boat travel during this time ?

Text Solution

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The correct Answer is:
distance travelled =96 cm
Given Initial velocity motorboat, u = 0
Acceleration of motorboat, a = 3.0 m `s^(-2)`
Time under consideration, t = 8.0 s
We know that Distance, s = ut + (1/2) `at^(2)`
Therefore, The distance travel by motorboat = `0xx8+(1//2)3.0xx8^(2)`
= `(1//2)xx3xx8xx8` m
= 96 m
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