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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 during this time?

Q 4.     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 during this time?

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Given, The motorboat starts from rest. Hence, initial speed of the motorboat, u = 0\ ms^{-1}

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

Time taken, t = 8\ s

(b) We know, s = ut+\frac{1}{2}at^2

\\ \implies s = 0(8) + \frac{1}{2}(3)(8)^2 \\ \implies s = \frac{1}{2}(3)(64) \\ \\ \implies s = 96\ m

Therefore, the distance travelled by the motorboat is 96\ m

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