Starting from rest, a motorcycle moves with constant acceleration along a highway entrance ramp \(0.22 \mathrm{~km}\) long. The motorcycle enters the traffic stream on the highway \(14.0 \mathrm{~s}\) later at \(31.0 \mathrm{~m} / \mathrm{s}\).

(a) What is the magnitude of the acceleration along the ramp?

(b) How fast is the motorcycle moving \(9.5 \mathrm{~s}\) after it begins to accelerate?

(c) How far along the ramp is the motorcycle \(9.5 \mathrm{~s}\) after it begins to accelerate?