# 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

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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 ?

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Correct Answer - 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