Question 1

• Distinguish between a scalar quantity and a vector quantity.

• Give three examples of scalar quantities.

• Give three examples of vector quantities.

Question 2

• Distinguish between distance and displacement.

• Describe a situation where an object’s displacement is equal to the distance it travelled.

• Describe a situation where an object has moved but its displacement is zero.

• Explain why the distance an object travels can never be less than its displacement.

Question 3

Calculate the distances travelled by cars that drove the following courses if each grid space represents 1 km × 1 km.

• A to B

• C to D

• E to F

• G to H

• I to J

• K to L

Question 4

Calculate the displacement of cars that travelled the following courses in question 3. Include a direction in your answer (eg N, NW etc). For (c) and (d), you will need to use the Pythagorean theorem shown below – give these answers to 1 decimal place.

• C to D

• E to F

• G to H

• K to L

Question 5

• Define ‘speed’.

• Write the formula for calculating the average speed of an object based on the distance travelled and the time taken.

• Write the formula for calculating the distance an object travelled based on its average speed and the time taken.

• Write the formula for calculating the time taken for an object to move a specified distance based on a given average speed.

Question 6

Calculate average speed for the following situations. Show your working and include the correct units.

• Distance travelled = 100 m and time taken = 16 s.

• Distance travelled = 920 km and time taken = 10 hr.

• Distance travelled = 2.1 km and time taken = 3.0 s.

Question 7

Calculate distance travelled for the following situations. Show your working and include the correct units.

• Average speed = 1.6 m/s and time taken = 60 s.

• Average speed = 90 km/h and time taken = 2.5 hr.

• Average speed = 7.8 km/s and time taken = 90 s.

Question 8

Calculate time taken for the following situations. Show your working and include the correct units.

• Distance travelled = 100 m and average speed = 1.6 m/s.

• Distance travelled = 120 km and average speed = 50 km/h.

• Distance travelled = 4.5 km and average speed = 0.30 km/s.

Question 9

• Explain how to convert speed in km/h to speed in m/s.

• Explain how to convert speed in m/s to speed in km/h.

• Draw a diagram that summarises your answers to (a) and (b).

Question 10

• Convert 72 km/h to m/s.

• Convert 450 km/h to m/s.

• Convert 50 m/s to km/h.

• Convert 340 m/s to km/h.

Question 11

Complete the following table.

Question 12

For the following questions give your answers to 1 decimal place.

• The world record for the men’s 100m sprint is 9.58 s. Calculate the average speed.

• A student cycled at 13.5 km/h for 1.1 hr. How far did she travel?

• Sound travels at 0.34 km/s. How long will it take a sound wave to travel 2.5 km?

Question 13

• A whale swam 44,100 m in 2.4 h. What was its average speed in km/h? Give your answer to 1 decimal place.

• A student ran an 800 m race in 2 m 12 s. What was her average speed in m/s? Give your answer to 1 decimal place.

• A paint ball travelled at an average speed of 234 km/h for 1.65 s before hitting its target. How many metres away was the target? Give your answer to the nearest metre.

• A car travelled from Sydney to Brisbane in 11 h 15 min. If its average speed was 81.5 km/h, what is the distance between Sydney and Brisbane? Give your answer to the nearest kilometre.

• A bullet travelled 1.15 km at an average speed of 730 m/s. How many seconds did it take to hit its target? Give your answer to 2 decimal places.

• A car was travelling at 90 km/h when a truck pulled out in front of it. If the car travelled for 16.6 m before the driver hit the brakes, what was the driver’s reaction time in seconds? Give your answer to 2 decimal places.