Question

4.
A motorboat starting from rest on a lake accelerates in a straight
line at a constant rate of 3.0 m s? for 8.0 s. How far does the
boat travel during this time?
​

Answer 1

Given that :-

• The initial velocity of a motorboat, u = 0
• Acceleration of motorboat, a=3.0ms-2
• Time under consideration or time is taken t = 8.0s

To Prove :-

• How far does the boat travel during this time?

Formula :-

$\bigstar \: \boxed{ \underline{ \underline{ \frak{ \blue{Distance, s = ut + ( \dfrac{1}{2})at^2}}}}}$

Solution :-

$\underline{\bold{Substituting \: the \: given \: and \: known \: values \: in \: the \: Formula \: we \: get,}} \\ \\ \tt{s= 0 (8) + 1/2 (3) (8)^2 } \\ \\ \tt{ \hookrightarrow \: 1/2 (3) (64)} \\ \\ \tt{ \hookrightarrow 3(32)} \\ \\ \boxed{ \tt{ \purple{ \hookrightarrow \: 96}}} \\ \\ \underline{ \underline{ \bf{ \red{Therefore, \: the \: distance \: travel \: by \: motorboat = 96 m}}}}$

Answer 2

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?

GIVEN:-

• The initial velocity of a motorboat, u = 0
• Acceleration of motorboat, a=3.0ms-2
• Time under consideration or time is taken t = 8.0s

TO FIND:-

• How far does the  boat travel during this time

ANSWER:-

We know that s =$ut + 1/2at²$

According to question, u = 0 [As it was in rest]; $a = 3ms⁻² ; t = 8s$

$s = 0 x 8 + 1/2 x 3 x 8 x 8\\s = 3 x 4 x 8\\s = 96m$

                   Hope it helps :D