A-level Physics (Advancing Physics)/Kinematics/Worked Solutions

1. A person accelerates from a speed of 1 ms−1 to 1.7 ms−1 in 25 seconds. How far has he travelled in this time? u = 1, v = 1.7, t = 25 2. A car accelerates at a rate of 18 kmh−2 to a speed of 60 kmh−1, travelling 1 km in the process. How fast was the car travelling before it travelled this distance? a = 18, v = 60, s = 1 v2 = u2 + 2as 602 = u2 + (2 x 18 x 1) 3600 = u2 + 36 u2 = 3564 u = 59.7kmh−1 (to 3 significant figures) 3. A goose in flight is travelling at 4 ms−1. It accelerates at a rate of 1.5 ms−2 for 7 seconds. What is its new speed? u = 4, a = 1.5, t = 7 v = u + at = 4 + (1.5 x 7) = 14.5 ms−1 4. How far does an aeroplane travel if it accelerates from 400 kmh−1 at a rate of 40 kmh−2 for 1 hour? u = 400, a = 40, t = 1