Rate of Change

Front

What is the definition of rate of change?

Back

Rate of change is defined as the change in y divided by the change in x (change of y / change of x).

Front

What is the unit of measurement for rate of change in speed?

Back

The unit of measurement for rate of change in speed is typically expressed in units such as miles per hour (mph) or centimeters per hour (cm/h).

Front

If a car travels 100 miles in 2 hours, what is its average speed?

Back

50 miles per hour (100 miles / 2 hours).

Front

What does a rate of change of 0 m/s indicate?

Back

A rate of change of 0 m/s indicates that there is no change in position over time; the object is at rest.

Front

How do you calculate the average speed of a cyclist who covers 60 miles in 4 hours?

Back

Average speed = Total distance / Total time = 60 miles / 4 hours = 15 miles per hour.

Front

What is the formula for calculating rate of change?

Back

Rate of change = (Change in y) / (Change in x).

Front

If the temperature increases from 20°C to 30°C over 5 hours, what is the rate of change in temperature?

Back

Rate of change = (30°C - 20°C) / 5 hours = 2°C per hour.

Front

What is the significance of a positive rate of change?

Back

A positive rate of change indicates that a quantity is increasing over time.

Front

What is the significance of a negative rate of change?

Back

A negative rate of change indicates that a quantity is decreasing over time.

Front

If a runner completes a 5 km race in 25 minutes, what is their average speed in km/min?

Back

Average speed = 5 km / 25 min = 0.2 km/min.