A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0ms2 for 8.0s.How far does the boat travel during this time?

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