Mastering Free-Response Questions in AP Calculus AB

Where can additional practice problems be found according to the video?

• On the official AP website homepage

• In the AP classroom under each unit review section

• On random websites

• In the textbook appendix

What determines the horizontal movement of the particles discussed in the video?

• The position functions P(t) and R(t)

• The velocity at time zero

• The initial speed of the particles

• The acceleration due to gravity

How is the velocity of particle R derived?

• By integrating the position function R(t)

• By measuring the time taken to move a certain distance

• By calculating the total distance traveled

• By taking the derivative of the position function R(t)

What method is used to determine the intervals where particle R is moving to the right?

• Comparing initial and final positions

• Estimating the curve on a graph

• Calculating the total displacement

• Sign analysis of the velocity function

What is the derivative of the cosine function, as used in the video to find P's velocity?

• Positive sine of the function inside the cosine

• Negative cosine of the function inside the cosine

• Positive cosine of the function inside the cosine

• Negative sine of the function inside the cosine

During which interval is particle P moving to the left?

• From t = 0 to t = 1

• From t = 0 to t = 4

• From t = 1 to t = 3

• From t = 4 to t = 6

How are the intervals where particles P and R move in opposite directions determined?

• By setting their position functions equal

• By comparing the signs of their velocities

• By calculating their average speeds

• By finding the maximum distance between them

What is the purpose of using absolute value in the context of finding the distance between two particles?

• To find the acceleration from a given position

• To determine the velocity of each particle

• To calculate the potential energy between particles

• To ensure the distance is always a non-negative value

What does the average value of a function represent in the context of the distance between two particles?

• The mean distance over a specified interval

• The maximum distance at any point

• The final distance at the end of the interval

• The initial distance at the start of the interval

What does a negative acceleration indicate about the motion of a particle?

• The particle is moving in a straight line

• The particle is stationary

• The particle is slowing down

• The particle is speeding up