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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms-2 for 8.0s. How far does the boat travel during this time?
A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms-1 for 8.0s. How far does the boat travel during this time?
Solution:
The motorboat starts from rest. So its initial velocity u = 0 m/s
given a = 3 m/s2
time, t = 8 seconds
Distance travelled in 8 seconds
$S = ut + \frac{1}{2}\times at^2 $
$= 0 \times 8 + \frac{1}{2} \times 3 \times 8^2$
$= 0 + \frac{1}{2} \times 3 \times 8^2$
$=\frac{1}{2} \times 3 \times 64$
= 96 m
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