Question

A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0ms-2 for 8.0 s how far does the boat travel during this time

Answer 1

See,
Here we can apply the second equation of motion at the lake is not flowing we can take and neglect some forces returning to your question.
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Answer 2

Answer:

Known Terms:-

u = Initial speed

v = Final speed

a = Acceleration

t = Time

s = Distance

Given:-

Initial speed of the motorboat, u = 0 km

Acceleration attain by the motorboat, a = 3 m/s

Time taken by the motorboat, t = 8 sec

To Find:-

Distance Travelled

Formula to be used:-

Motion 2nd equation that is $s=ut+\frac{1}{2}at^2$

Solution:-

Putting all values, we get

⇒ $s=ut+\frac{1}{2}at^2$

⇒ $s=8+\frac{1}{2}(3)(8)^2$

⇒ $s=96 \: m.$

Hence, the distance travelled by motorboat is 96 m.