Exam 2: Describing Motion: Kinematics in One Dimension

The average velocity of a car traveling with a constant acceleration during a certain time interval is equal to the mean of the velocities at the beginning and end of that time interval.

Which graph below could represent the motion of the object described in the following sentences? The object that starts its motion with a constant velocity of 2.0 m/s east. After 3.0 s, the object stops for 1.0 s. The object then moves toward the west a distance of 2.0 m in 3.0 s. The object continues traveling in the same direction, but increases its speed by 1.0 m/s for the next 2.0 s.

FIGURE 2-8 -Fig. 2-8 shows the velocity-versus-time graph for a basketball player traveling up and down the court in a straight-line path. Find the total distance run by the player in the 10 s shown in the graph.

FIGURE 2-10 -Fig. 2-10 shows the position of an object as a function of time. What is the length of the path the object followed during the time interval from time t = 0.0 s and time t = 9.0 s?

FIGURE 2-2 -The motion of a particle is described in the velocity vs. time graph shown in Fig. 2-2. We can say that its speed

FIGURE 2-8 -Fig. 2-8 shows the velocity-versus-time graph for a basketball player traveling up and down the court in a straight-line path. Find the displacement of the player for each of the segments A, B, C and D.

In a relay race, runner A is carrying the baton and has a speed of 3.00 m/s. When he is 25.0 m behind the starting line, runner B starts from rest and accelerates at 0.100 m/s². How long afterwards will A catch up with B to pass the baton to B?

FIGURE 2-13 -Fig. 2-13 represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 1 second and t = 4 seconds?

Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run?

A car is traveling north at 20.0 m/s at time t = 0.00 s. The same car is traveling north at 24.0 m/s at time t = 8.00 s. What statement is necessarily true about the acceleration of the car?

The position of an object is given as a function of time as x(t) = (3.00 m/s)t + (2.00 m/s²)t². What is the average velocity of the object between t = 0.00 s and t = 2.00 s?

A car is traveling with a constant speed when the driver suddenly applies the brakes, giving the car a deceleration of 3.50 m/s². If the car comes to a stop in a distance of 30.0 m, what was the car's original speed?

When is the average velocity of an object equal to the instantaneous velocity?

A ball rolls across a floor with an acceleration of 0.10 m/s² in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?

When is the average acceleration of an object equal to the instantaneous acceleration?

Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled.

Under what condition is average velocity equal to the average of the object's initial and final velocity?

An object is moving with constant non-zero velocity on the +x axis. The position versus time graph of this object is

An object is moving with constant non-zero acceleration on the +x axis. The velocity versus time graph of this object is

If the velocity versus time graph of an object is a horizontal line, the object is