4. A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms for 8.0 s. How far does the boat travel during this time?
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Ans : The boat travels =96 m
Explanation:
Given that
The initial velocity of a motorboat, u = 0
Acceleration of motorboat, a=3.0ms-2
Time under consideration or time is taken t = 8.0s
Formula
We know the equation of motion.
Distance, s = ut + (1/2)at2 —————-(i)
Substituting the given and known values in the equation (i) we get,
s= 0 (8) + 1/2 (3) (8)2
= 1/2 (3) (64)
= 3(32)
= 96
Therefore, the distance travel by motorboat = 96 m
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