Out and back
A runner travels 120 m east and then 50 m west in 35 s. Calculate distance, displacement, average speed and average velocity.
TOPIC 2 · CIE PRACTICEModel first.
Model first.
Then calculate.
Attempt each visible question on paper. Use a hint only when needed, then reveal the complete examiner-style solution.
Interpreting a negative sign
A car moving east slows from 24 m s⁻¹ to 8.0 m s⁻¹ in 5.0 s. Take east as positive. Find its acceleration and explain the sign.
Gradient and rest
A displacement–time graph rises uniformly from 0 m to 36 m in 12 s, stays horizontal for 5 s, then falls uniformly to 12 m in 8 s. State the velocity in each section.
Area under a graph
Velocity increases uniformly from 4.0 m s⁻¹ to 16 m s⁻¹ in 6.0 s. Find the acceleration and displacement.
Stopping distance
A motorcycle travels at 22 m s⁻¹ and brakes uniformly at 4.0 m s⁻². Calculate its stopping time and stopping distance.
Thrown vertically upward
A ball is thrown upward at 14 m s⁻¹. Ignore air resistance. Find the time and height when it reaches its highest point.
Horizontal launch
A stone leaves a 45 m cliff horizontally at 12 m s⁻¹. Ignore air resistance. Find the flight time and horizontal range.
Velocity before impact
For the stone in question 7, calculate the magnitude and direction of its velocity just before impact.