A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of for . How far does the boat travel during this time?
Step 1: Given data.
Step 2: Concept and formula to be used.
According to the second equation of motion, where, is the total distance covered, is the initial speed, is the acceleration and 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 and the acceleration is .
So, the total distance covered is given by:
Therefore, the total distance covered by the boar during the given time is .