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In this lesson, we will learn how to find the speed as a rate of change of distance that objects move during a time interval.

Q1:

A car takes some time to travel from one end of a stretch of road to the other end, and the ends of the stretch of road are 540 m apart. The car travels along the stretch of road at a constant speed of 36 m/s. How much time does it take for the car to reach the other end?

Q2:

The speed-time graph shows the change of speed of a person walking during the time interval from 𝑡 = 0 s e c o n d s to 𝑡 = 6 s e c o n d s .

What is the person’s speed at 𝑡 = 0 s ?

What is the person’s speed at 𝑡 = 3 s ?

What distance does the person walk between 𝑡 = 0 s and 𝑡 = 2 s ?

What distance does the person walk between 𝑡 = 2 s and 𝑡 = 4 s ?

What distance does the person walk between 𝑡 = 4 s and 𝑡 = 6 s ?

What distance does the person walk between 𝑡 = 0 s and 𝑡 = 6 s ?

Q3:

A curved racetrack has a length of 440 m. How many times does an athlete running at 8.8 m/s cross the same point on the race track if they run for 250 seconds?

Q4:

A woman jogging at an average speed of 4 m/s runs from position 𝐴 to position 𝐵 in a time of 280 s. What is the distance between 𝐴 and 𝐵 ?

Q5:

The distance between position 𝐴 and position 𝐵 shown in the diagram is 2 5 0 0 m. What is the average speed of a car that travels from 𝐴 to 𝐵 in 200 seconds?

Q6:

What distance does an object with a speed of 15 m/s travel in a time of 4 seconds?

Q7:

The sides of a baseball diamond are 27 m in length. What is the average speed of a baseball player who makes a run from first base to third base in a time of 7.2 s?

Q8:

A cat walks in a garden. The cat walks north a distance of 3 m in a time of 12 s. The cat then stops for 18 s before walking another 6 m north in a time of 15 s. What is the cat’s average speed?

Q9:

A person walking strolls all the way around a pond, a distance of 12 m. The person then turns around and walks 6 m back around the pond. The person’s average speed is 0.9 m/s. How much time does their walking take?

Q10:

How much time is taken for an object with a speed of 80 m/s to travel a distance of 300 m?

Q11:

Two children, Farida and Adam, go running through some fields. They both enter a field that is 36 m long and 77 m wide, entering at the field’s bottom left-hand corner at the same time as each other. Farida runs along the edges of the field at an average speed of 5.65 m/s, first to the top left-hand corner and then to the top right-hand corner. Adam runs straight across the field to the top right-hand corner, but the long grass in the field makes him run at an average speed of only 2.5 m/s. What is the difference in the time taken for Farida and Adam to arrive at the top right-hand corner of the field?

Q12:

Two cars, A and B, are approaching a perpendicular junction. Car A is moving at 35 m/s north and car B is moving at 25 m/s east. Car A arrives at the junction 5 seconds before car B arrives there. Car B was initially 375 m from the junction. How far from the junction was car A initially?

Q13:

An airplane travels at a speed of 800 km/h for 3.5 hours. How many kilometers does the airplane travel?

Q14:

A sprinter runs the 100-meter race at a certain average speed. The runner crosses the finish line 9.5 s after the race starts. What is the runner’s average speed? Round your answer to one decimal place.

Q15:

In the diagram shown, the distance 𝐴 𝐵 is 120 m and the distance 𝐵 𝐶 is 280 m. At an average speed of 8 m/s, how much time is taken to move from 𝐴 to 𝐵 and then to 𝐶 by traveling along the two lines shown in the diagram?

Q16:

A dog runs north at a speed of 4 m/s for 25 seconds and then runs west at a speed of 6 m/s for 10 seconds. What is the total distance the dog travels?

Q17:

What is the speed of an object that travels a distance of 300 metres in a time of 25 seconds?

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