AP Physics 1 Practice Problems
1982B1. The first meters of a 100-meter dash are covered in 2 seconds by a sprinter who starts from rest and
accelerates with a constant acceleration. The remaining 90 meters are run with the same velocity the sprinter
had after 2 seconds.
a. Determine the sprinter's constant acceleration during the first 2 seconds.
b. Determine the sprinters velocity after 2 seconds have elapsed.
c. Determine the total time needed to run the full 100 meters.
d. On the axes provided below, draw the displacement vs time curve for the sprinter.
1988B1. A helicopter holding a 70-kilogram package suspended from a rope 5.0 meters long accelerates
upward at a rate of 5.2 m/s2. Neglect air resistance on the package.
a. On the diagram below, draw and label all of the forces acting on the package.
b. Determine the tension in the rope.
c. When the upward velocity of the helicopter is 30 meters per second, the rope is cut and the helicopter
continues to accelerate upward at 5.2 m/s2. Determine the distance between the helicopter and the
package 2.0 seconds after the rope is cut.
2000B1. A 0.50 kg cart moves on a straight horizontal track. The graph of velocity v versus time t for the cart is
given below.
a. Indicate every time t for which the cart is at rest.
b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing.
c. Determine the horizontal position x of the cart at t = 9.0 s if the cart is located at x = 2.0 m at t = 0. d.
On the axes below, sketch the acceleration a versus time t graph for the motion of the cart from t = 0 to t =
25 s.
e. From t = 25 s until the cart reaches the end of the track, the cart continues with constant horizontal
velocity. The cart leaves the end of the track and hits the floor, which is 0.40 m below the track.
Neglecting air resistance, determine each of the following:
i. The time from when the cart leaves the track until it first hits the floor
ii. The horizontal distance from the end of the track to the point at which the cart first hits the floor
iii. The kinetic energy of the cart immediately before it hits the floor
1984b3. The graph above shows the velocity versus time for an object moving in a straight line. At what time after t = 0 does the
object again pass through its initial position?
(A) Between 0 and 1 s
(B) 1 s
(C) Between 1 and 2 s
(D) 2s (E) Between 2 and 3 s
84b65. A body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a
constant speed of 24 meters per second. At t = 1 second, the body is given a constant acceleration of 6 meters per second squared
in the negative x direction. The position x of the body at t = 11 seconds is
(A) +99m (B) +36m
(C) - 36 m
(D) - 75 m
(E) - 99 m
88b1. The displacement x of an object moving along the x-axis is shown above as a function of time t. The acceleration of this
object must be
(A) zero
(B) constant but not zero
(C) increasing
(D) decreasing
(E) equal to g
88b62. A truck traveled 400 meters north in 80 seconds, and then it traveled 300 meters east in 70 seconds. The magnitude of the
average velocity of the truck was most nearly
(A) 1.2 m/s
(B) 3.3 m/s
(C) 4.6 m/s
(D) 6.6 m/s
(E) 9.3 m/s
93b5. An object is released from rest on a planet that has no atmosphere. The object falls freely for 3.0 meters in the first second.
What is the magnitude of the acceleration due to gravity on the planet?
(A) 1.5 m s2
(B) 3.0 m/s2
(C) 6.0 m/s2
(D) 10.0 m/s2
(E) 12.0 m/s2