Kinematics Multiple Choice (Graded for Accuracy)
An airplane travels horizontally at a constant velocity v⃗ .An object is dropped from the plane, and one second later another object is dropped from the plane. If air resistance is negligible, what happens to the vertical distance between the two objects while they are both falling?
A
The position x as a function of time t for an object moving in a straight line is shown in the graph above. Which of the following best describes the object's speed and direction of motion during the time interval shown?
A
Two objects are dropped from rest from the same height. Object A falls through a distance dA during a time t, and object B falls through a distance dB during a time 2t. If air resistance is negligible, what is the relationship between dA and dB ?
A
Ball 1 is dropped from rest at time t = 0 from a tower of height h, as shown above. At the same instant, ball 2 is launched upward from the ground with initial speed v0 . If air resistance is negligible, at what time t will the two balls pass each other?
C
A small particle starts from rest from the origin of an xy-coordinate system and travels in the xy-plane. Its acceleration in the x-direction is 2.0 m/s2 , and its acceleration in the y-direction is 1.0 m/s2 . What is the x-coordinate of the particle when its y-coordinate is 12 m?
D
An object of mass 10 kg starts from rest at time t = 0 and moves in a straight line. For time t > 0, the object's velocity v as a function of time t is given by v = 2t + 3t2 , where v is in m/s and t is in seconds. How far does the object travel during the first 10 s of its motion?
D
The velocity of a particle moving along the x-axis is given as a function of time by the expression v(t) = 3.0t2 - 2.0t + 4.0 , where v is in meters per second and t is in seconds. What is the acceleration of the particle at t = 2.0 s?
D (10 m/s^2)
The graph above shows velocity as a function of time for an object moving along a straight line. For which of the following sections of the graph is the acceleration constant and nonzero?
D (RS and ST only)
A ball is struck at time t = 0 and follows the parabolic path shown in the diagram above. The following graphs show quantities possibly associated with the motion as a function of time t. Assume that air resistance is negligible and that the positive directions are upward and to the right. Which graph represents the horizontal component of the velocity of the ball?
E
Two projectiles are launched with the same initial speed from the same location, one at a 30° angle and the other at a 60° angle with the horizontal. They land at the same height at which they were launched. If air resistance is negligible, how do the projectiles' respective maximum heights, H30 and H60 , and times in the air, T30 and T60 , compare with each other?
E