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Question

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


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Solution

Step 1: Given data.

  1. The acceleration of a boat is 3.0ms-2.
  2. The initial speed is zero.
  3. The total time of acceleration is 8.0s.

Step 2: Concept and formula to be used.

According to the second equation of motion, s=ut+12at2 where, s is the total distance covered, u is the initial speed, a is the acceleration and t time of the journey.

Step 3: Find the total distance covered by the boat.

Since, the initial speed of the boat is zero, the time of journey is 8.0s and the acceleration is 3.0ms-2.

So, the total distance s covered is given by:

s=12(3)(8)(8)s=96m.

Therefore, the total distance covered by the boar during the given time is 96m.


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