Question

A motor boat starting from rest on a lake accelerates in straight line at a constant rate 3m/s^2 for 8 sec .How far does the boat travel

Answer 1

Heya !!

Here is your answer.

Given :
u = 0.
a = 3 m/s²
t = 8 sec.

Using,
s = ut + 1/2 at²
s = 1/2 × 3 × 8 × 8
s = 3 × 32
s = 96 m.


Hope You Got It

Answer 2

Question : A motor boat starting from rest on a lake accelerates in straight line at a constant rate 3m/s^2 for 8 sec. How far does the boat travel?

Answer :

The question asks us to find the distance traveled.

The motorboat starts from rest, so the initial velocity would be : 0

Time taken : 8 seconds.

Acceleration : 3 m\s²

According to the third equation of motion, which states :

S = Ut + $\frac{1}{2}$ at²

( Here, S refers to the distance)

= 0 × 8 + $\frac{1}{2}$ 3 (8)²

= 0 + $\frac{1}{2}$ 3 × 64 = 96 meter.

Therefore, the distance traveled by the boat is 96 meters.

Always remember, to find the distance traveled, we must use the second equation of motion, which is S = Ut + 1/2 at²