Question

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

Answer 1

initial velocity, u = 0
acceleration, a = 3 m/s²
time = 8 second

displacement = ut + 0.5at² 
                    = 0×8 + 0.5×3×8²
                    = 0 + 96 
                    = 96 m
The boat travels 96m.

Answer 2

 u=0   t=8sec    a=3m/s   s=?     s =ut+1/2at^2      ie s=0+1/2 x3 x64  =32 x3 =96m