Exploring Particle Motion in AP Calculus AB

What is the length of the pool Steven swims in?

• 75 meters

• 50 meters

• 100 meters

• 25 meters

What is the unit of measurement for velocity in this problem?

• meters per second squared

• meters per second

• kilometers per hour

• feet per second

At what time does Steven change direction?

• 30 seconds

• 90 seconds

• 60 seconds

• 56 seconds

How is Steven's acceleration at 60 seconds calculated?

• By differentiating the velocity

• By integrating the velocity

• By summing the velocity

• By averaging the velocity

What is the sign of Steven's velocity at 60 seconds?

• Positive

• Zero

• Undefined

• Negative

Is Steven speeding up or slowing down at 60 seconds?

• Not moving

• Constant speed

• Slowing down

• Speeding up

What method is used to find the distance between Steven's positions at different times?

• Integration

• Multiplication

• Summation

• Differentiation

What is the approximate distance between Steven's position at time 20 and time 80?

• 23.384 meters

• 50 meters

• 100 meters

• 75 meters

How is the total distance Steven swims calculated?

• By integrating the absolute value of velocity

• By differentiating the absolute value of velocity

• By summing the absolute values of displacement

• By averaging the velocities

What is the total distance Steven swims over the interval from 0 to 90 seconds?

• 62.164 meters

• 120 meters

• 100 meters

• 90 meters