Exam 2: Describing Motion: Kinematics in One Dimension

FIGURE 2-9 -Refer to Fig. 2-9. If you start from the Bakery, travel to the Art Gallery, and then to the Cafe, in 1.0 hour, what is your average speed?

The slope of a line connecting two points on a velocity versus time graph gives

A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays its motion for 1.00 s before starting, what must the constant acceleration of the police car be to catch the speeding car after the police car travels a distance of 300 m?

In a 400-m relay race the anchorman (the person who runs the last 100 m) for team A can run 100 m in 9.8 s. His rival, the anchorman for team B, can cover 100 m in 10.1 s. What is the largest lead the team B runner can have when the team A runner starts the final leg of the race, in order that the team A runner not lose the race?

In a relay race, runner A is carrying the baton and has a speed of 3.4 m/s. When he is 25 m behind the starting line, runner B starts from rest and accelerates at 0.140 m/s². How fast is B traveling when A overtakes her?

Two objects are dropped from a bridge, an interval of 1.0 s apart. As time progresses, the difference in their speeds

A rock is dropped from a vertical cliff. The rock takes 3.00 s to reach the ground below the cliff. A second rock is thrown vertically from the cliff. It takes 2.00 s to reach the ground below the cliff from the time it is released. With what velocity was the second rock released?

The velocity of a particle as a function of time is given by v(t) = (2.3 m/s) + (4.1 m/ s²)t - (6.2 m/ s³)t². What is the average acceleration of the particle between t = 1.0 s and t = 2.0 s?

FIGURE 2-10 -Fig. 2-10 shows the position of an object as a function of time. What is the average speed of the object between time and time t = 9.0 s?

The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s²) t². Determine the instantaneous acceleration at time t = 4.00 s.

Which statement is correct about the relationship between the instantaneous speed and the magnitude of the instantaneous velocity?

If a car accelerates at 4.0 m/s², how long will it take to reach a speed of 80 km/hr, starting from rest?

FIGURE 2-5 -A plot of position as a function of time is shown in Fig. 2-5. Which graph represents the acceleration as a function of time?

Suppose that a car traveling to the East (+x direction) begins to slow down as it approaches a traffic light. Make a statement concerning its acceleration.

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and undergo identical decelerations. How does the distance required for car A to stop compare with that for car B?

FIGURE 2-10 -Fig. 2-10 shows the position of an object as a function of time. What is the average velocity of the object between time t = 0.0 s and time t = 9.0 s?

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

At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s². At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car. (a.) Calculate the time necessary for the car to reach the truck. (b.) Calculate the distance beyond the traffic light that the car will pass the truck. (c.) Determine the speed of the car when it passes the truck.

FIGURE 2-6 -Fig. 2-6 represents the position of a particle as it travels along the x-axis. What is the average velocity of the particle between t = 0 s and t = 3 s?

FIGURE 2-6 -Fig. 2-6 represents the position of a particle as it travels along the x-axis. What is the magnitude of the instantaneous velocity of the particle when t = 1 s?