Distance, Speed, and Time Problems

This video tutorial covers the concept of distance-time graphs, explaining how distance is plotted on the y-axis and time on the x-axis. It uses examples of a car, a cyclist, a train, and individuals like Callum and Paul to illustrate how to interpret these graphs. Key concepts include understanding stationary periods, constant speed, and calculating speed using the gradient. The tutorial also provides exercises for viewers to practice calculating distances, speeds, and times from given graphs.

What does a horizontal line on a distance-time graph indicate about an object's motion?

• The object is stationary.

• The object is decelerating.

• The object is moving at a constant speed.

• The object is accelerating.

If a car travels 60 meters in the first 3 seconds, what is its speed?

• 10 meters per second

• 20 meters per second

• 60 meters per second

• 30 meters per second

How long was the car stationary during its journey?

• 4 seconds

• 2 seconds

• 3 seconds

• 1 second

What is the total distance traveled by the cyclist if they go to the city and back?

• 100 miles

• 35 miles

• 70 miles

• 50 miles

What was the cyclist's speed on the way home if they traveled 35 miles in 2.5 hours?

• 16 miles per hour

• 10 miles per hour

• 12 miles per hour

• 14 miles per hour

How far did the train travel in total during its journey?

• 110 miles

• 150 miles

• 250 miles

• 200 miles

What was the train's average speed for the entire journey?

• 80 miles per hour

• 60 miles per hour

• 70 miles per hour

• 90 miles per hour

How long did it take Callum to cycle to the supermarket?

• 50 minutes

• 20 minutes

• 30 minutes

• 40 minutes

What was Callum's speed on his journey home if he traveled 4.5 miles in 25 minutes?

• 8.5 miles per hour

• 9.5 miles per hour

• 10.8 miles per hour

• 11.5 miles per hour

How far do Paul's parents live from the shop if the shop is 4 miles from his house and his parents live 7 miles from his house?

• 5 miles

• 4 miles

• 3 miles

• 2 miles