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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?

Answer:

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

Acceleration of the boat = 3 ms-2

Time period = 8s

As per the second motion equation, 𝑠=𝑢𝑡+12𝑎𝑡2

Therefore, total distance traveled by the boat in 8 seconds = 0+12(3)(82)

= 96 meters

Therefore, the motorboat travels a distance of 96 meters in a time frame of 8 seconds

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