# 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

v^{2} = u^{2} + 2as

60^{2} = u^{2} + (2 x 18 x 1)

3600 = u^{2} + 36

u^{2} = 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