2025 PHS PRELIMS P1 Q25

A bus accelerates from rest at \(0.5\text{ m/s}^2\) to \(v\text{ m/s}\) in 40 seconds, travels at this speed until \(T\) seconds, and then stops at 120 seconds. The total distance is \(1500\text{ m}\).

Find

1. \(v\),[1]
2. \(T\).[2]