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A particle starts from rest and accelera...

A particle starts from rest and accelerates constantly with `2m//s^(2)` for 10 s and then retards uniformly with same rate till it comes to rest. Draw the x-t, v-t and a-t graphs.

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To solve the problem step by step, we will analyze the motion of the particle, calculate the necessary values, and then draw the required graphs. ### Step 1: Analyze the motion The particle undergoes two phases: 1. **Acceleration Phase**: From \( t = 0 \) to \( t = 10 \) seconds, the particle accelerates at \( 2 \, \text{m/s}^2 \). 2. **Retardation Phase**: From \( t = 10 \) to \( t = 20 \) seconds, the particle decelerates (retards) at \( -2 \, \text{m/s}^2 \) until it comes to rest. ### Step 2: Calculate the distance covered during acceleration ...
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