Exam 2: Motion Along a Straight Line

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An object is thrown vertically into the air.Which of the following five graphs represents the velocity (v)of the object as a function of the time (t)? The positive direction is taken to be upward. An object is thrown vertically into the air.Which of the following five graphs represents the velocity (v)of the object as a function of the time (t)? The positive direction is taken to be upward.

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Of the following situations, which one is impossible?

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Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t)= 27t - 4.0t3, where t is in seconds.The magnitudes of the initial (at t = 0)velocity and acceleration of the auto respectively are:

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The diagram shows a velocity-time graph for a car moving in a straight line.At point P the car must be: The diagram shows a velocity-time graph for a car moving in a straight line.At point P the car must be:

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This graph shows the velocity of a particle as a function of time.During what interval is its displacement negative? This graph shows the velocity of a particle as a function of time.During what interval is its displacement negative?

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An object dropped from a window of a tall building hits the ground in 12.0 s.If its acceleration is 9.80 m/s2, the height of the window above the ground is (you may neglect air resistance):

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An object is thrown vertically upward at 35 m/s.Taking g = 10 m/s2, the velocity of the object 5 seconds later is:

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The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds.Its average velocity over the interval from t = 0 s to t = 2 s:

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An object is thrown straight up from ground level with a speed of 50 m/s.If g = 10 m/s2 its distance above ground level 1.0 second later is:

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At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s2 for t in seconds.At the end of 4.0 s it has traveled:

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A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and returns to Hither.The time for this round trip is 2 hours.The average speed of the car for this round trip is:

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Consider the following five graphs (note the axes carefully).Which of these represent(s)motion at constant speed? Consider the following five graphs (note the axes carefully).Which of these represent(s)motion at constant speed?

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What is the relationship between instantaneous speed and instantaneous velocity?

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This graph shows the position of a particle as a function of time.What is its average velocity between t = 5s and t = 9s? This graph shows the position of a particle as a function of time.What is its average velocity between t = 5s and t = 9s?

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An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s2.Its average velocity as it goes from x = 2 m to x = 8 m is:

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Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t)= 27t - 4.0t3, where t is in seconds.At the end of 1.0 s the acceleration of the auto is:

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A heavy ball falls freely, starting from rest.Between the third and fourth second of its fall it travels a distance of:

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A freely falling body has a constant acceleration of 9.8 m/s2.This means that:

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Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t)= 98 - 2t2, where t is in seconds.When it momentarily stops its acceleration is:

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An object starts from rest and has a constant acceleration of 3 m/s2.The position versus time graph for this object has a slope:

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