Question

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3 ms–2 for 8 s. How far does the boat travel during this time?

Answer 1

Given Initial velocity of motorboat, u = 0

Acceleration of motor boat, a=3.0m s-2

Time under consideration, t = 8.0s

We know that Distance, S=ut + (1/2)at2

Therefore, The distance travel by motor boat = 0 —8 + (1/2)3.0 x 8 2

= (1/2) x 3 x 8 x 8 m

= 96 m

Answer 2

Answer:

The motor boat starts from rest

so initial velocity u=0

time taken t= 8s

acceleration a =3 m/s- 2

now from 2nd equation of motion

Distance covered during the given time

s = ut+1/2 at-2

s= 0+1/2•3•8-2

s = 3/2 •64

s = 96 m