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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/s2 for 8.0 s. How far does the boat travel during this time?

Given, initial velocity of the boat(u) = 0 m/s

Acceleration of the boat $$= 3 m/s^2$$

By second motion equation, $$s= ut + \frac{1}{2}at^2$$

$$\Rightarrow s = \frac{1}{2}3 × 8^2$$
$$\Rightarrow s = 96 \ m$$