A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m/s² for 8.0 s. How far does the boat travel during this time?

We know that distance is given by the second equation of motion, S = ut + (1/2)at².

Here:
S = ? = Distance
u = 0 = initial velocity
a = 3 m/s² = acceleration
t = 8 s = time

So, using the equation we get:
S = ut + (1/2)at²
→ S = 0 + (1/2) × 3 × 8²
→ S = 96 m