AP Physics C questions with verified solution 2023 passed

AP Physics CQ1 Acceleration due to gravity on the moon The acceleration due to gravity on the Moon is gM. Suppose an astronaut on the Moon drops an object from a height of H. The time it would take the object to reach the Moon's surface would be TM. The same object is dropped from the same height on Earth, where the acceleration due to gravity is gE. The time it takes the object to reach Earth's surface is TE. Which of the following is a correct mathematical relationship for the two times? Answer B) TE = √(gM/gE)TM Q2 Acceleration vectors for cart on a track Starting from rest, a cart moves to the right in a straight line along a track. The motion of the cart is represented by the dots shown, recorded at equal time intervals. Which of the following best represents the acceleration vectors at the beginning, middle, and end of the motion? Answer B) Arrow to the right, a = 0, Arrow to the left Q3 Astronauts launch an object Astronauts travel to another planet and wish to determine an accurate value for the acceleration due to gravity. They drop an object from the edge of a very tall cliff and with a motion sensor collect the data shown. If air resistance is negligible, the magnitude of the acceleration of the projectile is most nearly Answer E) 52.8 m/s^2 Q4 Calculus - position as a function of time An object is moving along the x-axis, with position x given as a function of time t defined by the equation x(t)=2t3−3t2−8t−3 . Which of the following equations indicates how to determine the object's velocity v as a function of t ? An object is moving along the x-axis, with position x given as a function of time t defined by the equation x(t)=2t^3−3t^2−8t−3. Which of the following equations indicates how to determine the object's velocity v as a function of t? Answer B) v(t) = d/dt(2t^3-3t^2-8t-3) Q5 Description of velocity from the graph A small sphere is launched straight upward. The vertical position as a function of time is shown in the graph. Which of the following best describes the sphere's velocity during the time period shown? Answer C) The velocity is initially positive, decreases to zero, and then becomes negative. Q6 Linearize position-time data A small sphere is launched straight upward. The vertical position as a function of time is shown in the graph. Which of the following relationships is best represented by the graph shown? Answer B) The position is directly related to time squared. Q7 Graph of position-time squared The data for the position x of a particle moving along a straight line is recorded at various times t. The position is plotted as a function of t2. The data points are shown in the graph. Which of the following shows an appropriate best-fit line for the data? Answer A) Graph of a negative linear line with 1st and 3rd point under the line, 2nd and 4th line above the line, and the 5th point on the line Q8 Motion of a block - Calculus For the block shown above, which of the following is the best equation for describing the position x(t) of the block as a function of time t ? Answer E) x(t) = 1/2axt^2+v0t+x0t Q9 Position and velocity vectors for projectile In an experiment, an object is launched with an initial velocity in the vertical direction. Its position as a function of time is recorded as dots on a piece of paper, as shown, with the downward motion offset to the right of the upward motion. Students draw the velocity vectors shown to represent the speed and direction of the object as it moves. Which of the following correctly describes the relationship between the dots and the vectors? Answer D) The dots are getting closer together on the way up and farther apart on the way down, so the students have shown the vectors getting shorter on the way up and longer on the way down. Q10 Position velocity and acceleration vectors The figures above show the vectors for initial velocity v0 and the constant acceleration a of an object moving along the x-axis of a coordinate system. If the object is at position x=0 at time t=0, which of the following figures accurately uses dots to represent the position vectors of the object during the first three seconds of its motion? Answer B) The dots representing the position should be moving to the right of the original position, and the distance between each dot should decrease (because the object is slowing down). Q11 Speed and acc - ball in free fall The figure above shows the velocity v and acceleration a vectors for a ball thrown into the air. Assuming air resistance is negligible, which of the following could be the velocity and acceleration vectors when the ball is at the highest point in its path? Answer D) v = 0 and a is the same Q12 Speed and acc - block on a inclined plane A block is on a surface inclined at angle θ above the horizontal, as shown. The velocity v and acceleration a vectors are shown. Which of the following best describes the motion of the block at the moment shown? Answer B) The block is moving up the incline and slowing down.