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Rates

Grade

10

Term

2

  1. Define "uniform speed".

  2. Write down the formula connecting distance, speed, and time.

  3. A car travels 150 km on a highway at a uniform speed of 60 kmh⁻¹. Calculate the time taken for the journey.

  4. A motorcycle travels at a constant speed of 36 kmh⁻¹. Convert this speed to metres per second (ms⁻¹).

  5. How long does it take a train which is 75 m long, travelling at a uniform speed of 60 kmh⁻¹, to pass a stationary signpost?

  6. A train of length 60 m, travelling at a uniform speed of 72 kmh⁻¹, crosses a bridge which is 100 m long. Calculate the time it takes.

  7. What is "average speed"?

  8. An intercity bus travels the first 25 km of a journey in 0.5 hours and the remaining 80 km in 1 hour. Find the average speed of the bus for the entire journey.

  9. What does the gradient of a distance-time graph represent?

  10. A distance-time graph shows a horizontal line segment from time t=30 minutes to t=50 minutes. What does this represent about the object's motion?

  11. A tank of capacity 1000 L is filled completely in 20 minutes by a pipe with a uniform flow rate. What is the rate of flow in litres per minute?

  12. Write the formula connecting the rate of change of volume, change in volume, and time.

  13. A saline solution is administered to a patient at a rate of 0.2 mls⁻¹. Calculate the time it takes for 450 ml of the solution to be administered.

  14. A cuboid-shaped tank of length 3m, breadth 2m, and height 1.5m is to be filled by a pipe with a flow rate of 300 litres per minute. How long will it take to fill the tank? (1 m³ = 1000 L)

  15. A water tank has a volume of 1800 m³. If water is distributed from this tank at a rate of 500 ls⁻¹, how many minutes will it take to empty half the tank?

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