2026 DSS P1 Q23

The diagram shows the speed–time graph for two cyclists, \(A\) and \(B\), travelling along the same road in the same direction.

\(A\) accelerates from rest for 10 seconds, accelerates further for the next 10 seconds, before travelling at a constant speed of 15 m/s. \(B\) travels at a constant speed of \(v\) m/s.

1. Calculate the acceleration of \(A\) at \(t=12\).[1]
2. The area beneath each speed–time graph represents the distance travelled by each cyclist. The two cyclists travelled the same distance after 30 seconds.
   Find the value of \(v\).[3]