Motion Numericals
Speed, velocity, acceleration and the equations of motion
Write the given values, the formula and the units for every answer. Take g = 10 m/s² and π = 22/7.
💡 Formula box
- speed = distance / time acceleration a = (v − u) / t
- v = u + at s = ut + ½ at² v² − u² = 2as
- To change km/h into m/s, multiply by 5/18.
Part ASpeed and acceleration
- 🚗 A car travels 150 km in 2.5 hours. Find its average speed.
- 🏎️ Convert 72 km/h into m/s.
- 🚌 A bus starts from rest and reaches 20 m/s in 10 s. Find its acceleration.
- 🚴 A cyclist rides 3 km east and then 4 km north in 30 minutes. Find the distance, the displacement, the average speed and the size of the average velocity.
- 🏃 An athlete completes one round of a circular track of radius 70 m in 88 s. Find her speed. What is her displacement after one round?
Part BEquations of motion
- 🚆 A train moving at 25 m/s brakes with a retardation of 0.5 m/s². How long does it take to stop, and how far does it travel before stopping?
- 🚙 A car moving at 10 m/s accelerates at 2 m/s² for 5 s. Find its final velocity and the distance covered in those 5 s.
- 🍎 A stone is dropped from rest from a cliff. Find its velocity after 3 s and the distance it has fallen.
- ⚾ A ball is thrown straight up at 20 m/s. Find the maximum height it reaches and the time it takes to get there.
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