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A body starts from rest and accelerates ...

A body starts from rest and accelerates uniformly at `5m//s^(2)` for 7 seconds, along a straight line, it then starts decelerating at a rate of `2m//s^(2)` for the next 5 seconds, moves uniformly with a velocity of 25m/s for the next 2 seconds and then retards again and comes to rest in another 3 seconds.
(i) Plot the velocity versus time graph for the body.
(ii) Calculate the total distance travelled by the body with the help of the graph.

Text Solution

AI Generated Solution

To solve the problem, we will break it down into steps to find the velocity at different time intervals, plot the velocity versus time graph, and calculate the total distance traveled by the body. ### Step 1: Calculate the velocity at different time intervals 1. **Initial Condition**: The body starts from rest. - Initial velocity (u) = 0 m/s at t = 0 seconds. 2. **Acceleration Phase (0 to 7 seconds)**: ...
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