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?

Given,

Initial speed, u = 0

Time, t = 8.0 s

Acceleration, a = 3.0 m/s²

We know that,

s = ut + at²

s = 0 × 8.0 + × 3 × (8.0)²

s = 0 + × 3 × 64

s = 96 m

Therefore, total distance travelled by boat is 96m.