Exam 2: Motion in One Dimension

The position of an object as a function of time is given by x = bt² - ct,where b = 2.0 m/s² and c = 6.7 m/s and x and t are in SI units.What is the instantaneous velocity of the object when t = 2.2?

The motion of a particle is described in the velocity versus time graph shown in the figure.We can say that its speed

A cat runs along a straight line (the x-axis)from point A to point B to point C,as shown in the figure.The distance between points A and C is 5.00 m,the distance between points B and C is 10.0 m,and the positive direction of the x-axis points to the right.The time to run from A to B is 20.0 s,and the time from B to C is 8.00 s. As the cat runs along the x-axis between points A and C (a)what is the magnitude of its average velocity? (b)what is its average speed?

The figure shows a graph of the velocity as a function of time for a basketball player traveling up and down the court in a straight-line path.For the 10 s shown on the graph,find (a)the net displacement of the player. (b)the total distance run by the player.

The figure shows the position of an object as a function of time,with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s (a)what is the average speed of the object? (b)what is the average velocity of the object?

The figure shows the position of an object as a function of time. During the time interval from time t = 0.0 s and time t = 9.0 s (a)what is the length of the path the object followed? (b)what is the displacement of the object?

The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis).Which of the following graphs best describes the velocity along the x-axis as a function of time for this object?

As part of an exercise program,a woman walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distance 3000 m in 25.0 minutes (a)What is the woman's average velocity during her entire motion? A)0.824 m/s south B)1.93 m/s south C)2.00 m/s south D)1.79 m/s south E)800 m/s south (b)What is the woman's average speed during her entire motion? A)0.824 m/s B)1.93 m/s C)2.00 m/s D)1.79 m/s E)800 m/s

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure.The two vehicles are initially alongside each other at time t = 0.At time T,what is true about these two vehicles since time t = 0?

If the fastest you can safely drive is 65 mi/h,what is the longest time you can stop for dinner if you must travel 541 mi in 9.6 h total?

The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s,what is (a)the average speed of the particle and (b)the average velocity of the particle?

An object starts its motion with a constant velocity of 2.0 m/s toward the 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.Which graph below could represent the motion of this object?

The graph in the figure shows the position of an object as a function of time.The letters H-L represent particular moments of time.At which moments shown (H,I,etc.)is the speed of the object (a)the greatest? (b)the smallest?

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?

The velocity of an object is given by the expression v(t)= 3.00 m/s + (4.00 m/s³)t²,where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time T = 0.000 s.