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

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