Newton, Leibniz, and Usain Bolt | Derivatives introduction | AP Calculus AB | Khan Academy

Which two mathematicians are credited as the founding fathers of calculus?

• Isaac Newton and Usain Bolt

• Gottfried Leibniz and Usain Bolt

• Isaac Newton and Gottfried Leibniz

• Albert Einstein and Isaac Newton

What is the main idea that differential calculus helps us understand?

• The total distance an object travels.

• The average speed of an object over a long period.

• The exact speed or rate of change of something at a specific moment.

• How to add and subtract large numbers quickly.

What is Usain Bolt's world record time for running 100 meters?

• 10.4 seconds

• 9.58 seconds

• 100 seconds

• 95.8 seconds

How do you calculate the average speed of an object?

• Divide the change in time by the change in distance.

• Multiply the change in distance by the change in time.

• Divide the change in distance by the change in time.

• Add the total distance and the total time.

What was Usain Bolt's approximate average speed in miles per hour during his 100-meter race?

• 10.4 miles per hour

• 23.5 miles per hour

• 30 miles per hour

• 37.5 miles per hour

On a graph where distance is on the y-axis and time is on the x-axis, what does the slope of the line represent?

• Acceleration

• Time elapsed

• Speed

• Total distance

How does Usain Bolt's peak instantaneous speed compare to his average speed over the entire 100-meter race?

• His peak instantaneous speed was much lower than his average speed.

• His peak instantaneous speed was the same as his average speed.

• His peak instantaneous speed was higher than his average speed.

• Instantaneous speed cannot be determined for a race.

What mathematical concept is used to find the exact speed of an object at a single, specific moment in time?

• Average speed calculation

• Subtraction

• The derivative (calculus)

• Multiplication