A motorboat srarting from rest on a lake aceelnates in a straight line at a constant rate of 3ms-2 for 8 sec How far does the boat travel during this time?
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Answer:
Given that
Initial velocity of motorboat, u = 0
Acceleration of motorboat, a=3.0ms-2
Time under consideration, or time 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 equation (i) we get,
s= o (8) + 1/2 (3) (8)2
= 1/2 (3) (64) { 82 = 8 X 8=64}
= 3 (32)
= 96
Therefore, The distance travel by motorboat = 96 m
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