A body moving with uniform acceleration travels 84 m in the first 6 s and 180 m in the next 5 s. Find : (a) the initial velocity, and (b) the acceleration of the body.

Explanation

To solve the problem step by step, we will use the equations of motion under uniform acceleration.

### Given:
1. Distance traveled in the first 6 seconds, \( S_1 = 84 \, \text{m} \)
2. Distance traveled in the next 5 seconds, \( S_2 = 180 \, \text{m} \)
3. Total time for the first part, \( T_1 = 6 \, \text{s} \)
4. Total time for the second part, \( T_2 = 5 \, \text{s} \)
5. Total time for both parts, \( T = T_1 + T_2 = 11 \, \text{s} \)
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