Interpreting Time and Distance Functions

What does the gradient of the line on a distance-time graph represent?

• Distance

• Time

• Speed

• Acceleration

If a cyclist travels 20 meters in 2 seconds, what is her speed?

• 10 meters per second

• 40 meters per second

• 5 meters per second

• 20 meters per second

What does a flat line on a distance-time graph indicate about the object's movement?

• Stationary

• Deceleration

• Acceleration

• Constant speed

How can you find the speed at a particular point on a curve in a distance-time graph?

• Calculate the total distance

• Draw a tangent and calculate its gradient

• Measure the curve's length

• Divide the total time by total distance

What does a decreasing gradient on a distance-time graph show?

• Stationary

• Deceleration

• Constant speed

• Acceleration

If the gradient of a distance-time graph increases, what does it indicate about the object's speed?

• It increases

• It is zero

• It decreases

• It is constant

What is the formula for speed as indicated by the gradient of a distance-time graph?

• Speed = Time / Distance

• Speed = Distance / Time

• Speed = Distance x Time

• Speed = Distance + Time

What does a straight line on a distance-time graph represent?

• Constant speed

• Stationary

• Deceleration

• Acceleration

How do you calculate the speed at eight seconds on a curve in a distance-time graph?

• By drawing a tangent at eight seconds and calculating its gradient

• By calculating the total distance divided by 8

• By measuring the curve's length at eight seconds

• By dividing the distance at eight seconds by the total time

What does a curved line on a distance-time graph indicate?

• The object is stationary

• The object is moving in reverse

• The object's speed is constant

• The object's speed is changing