A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0, m

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7. MOTION

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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of $3.0\, m s^{-2}$ for $8.0 \,s$. How far does the boat travel (in $m$) during this time ?

A

$70$

B

$60$

C

$90$

D

$96$

Solution

Given Initial velocity of motorboat, $u=0$

Acceleration of motorboat, $a=3.0 \,m s ^{-2}$

Time under consideration, $t=8.0 \,s$

We know that Distance, $s=u t+(1 / 2) a t^{2}$

Therefore, The distance travel by motorboat $=0 \times 8+(1 / 2) 3.0 \times 82$

$=(1 / 2) \times 3 \times 8 \times 8\, m$

$=96 \,m$

Standard 9

Science

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