Question

a motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 second -2​

Answer 1

Answer:

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Explanation:

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Answer 2

$\huge\star\sf\underline\pink{Solution :-}$

We have,

$\sf{Initial\:speed(u) = 0} \\ \\ \sf{Time(t) = 8.0s} \\ \\ \sf{ Acceleration (a) = 3.0\:ms^{-2}}$

$\sf\underline\red{To\:Find:-} \\ \\ \\ \: \: \: \: \bullet\sf{ Distance\: travelled (s) =?}$

$\sf\underline\red{Formula\:used:} \\ \\ \\ \huge\bullet\pink{\boxed{\sf{ s = ut+ \dfrac{1}{2} at^2}}}$

So,

After Entering Values into the Formula,

$\longrightarrow{\sf{ s = 0 \times 8.0 + \dfrac{1}{2} \times 3 \times (8.0)^2}} \\ \\ \\ \longrightarrow{\sf{s = 0 + \dfrac{1}{2} \times 3 \times 64}} \\ \\ \\ \longrightarrow{\sf{s = 96\:m}}$

Thus,

The Boat travels a distance of 96 metres.

Additional Information:

• The Direction of velocity is the same as the direction of displacement of the body.

• Distance Travelled = Average velocity × Time