A particle moves clockwise in acircle of radius 1m with centre at `(x, y)=(1m, 0)`. It starts at rest at the origin at time `t=0`. Its speed increases at the constant rate of `(pi/2) m//s^(2)`. (i) Hpw long does it takes to travel halfway around the circle? (ii) What is the speed at that time?

Explanation

To solve the problem step by step, let's break it down into two parts as per the question.

### Given Data:
- Radius of the circle, \( r = 1 \, \text{m} \)
- Initial speed, \( u = 0 \, \text{m/s} \) (starts from rest)
- Tangential acceleration, \( a = \frac{\pi}{2} \, \text{m/s}^2 \)

### Part (i): Time to travel halfway around the circle
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