Exam 2: Kinematics in One Dimension

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A train with a constant velocity of +28.6 m/s approaches a small town . The operator applies the brake, reducing the train's velocity to +11.4 m/s. If the average acceleration of the train during braking is -1.35 m/s2, for what elapsed time does the operator apply the brake?

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A car is initially traveling at 50.0 km/h. The brakes are applied and the car stops over a distance of 35 m. What was magnitude of the car's acceleration while it was braking?

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When the outdoor emergency warning siren at Cheryl's school was tested, the sound from the siren took 7.0 s to reach her house located 2.40 km from the school. What is the speed of sound in air?

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An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time. An object is moving along a straight line. The graph shows the object's position from the starting point as a function of time.   -In which segment(s) of the graph does the object's average velocity (measured from t = 0 s) decrease with time? -In which segment(s) of the graph does the object's average velocity (measured from t = 0 s) decrease with time?

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A rock is dropped from rest from a height h above the ground. It falls and hits the ground with a speed of 11 m/s. From what height should the rock be dropped so that its speed on hitting the ground is 22 m/s? Neglect air resistance.

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A hammer is accidentally dropped from rest down a vertical mine shaft. How long does it take for the rock to reach a depth of 79 m? Neglect air resistance.

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During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s. What must the average speed of the car be during the last 42 minutes of the trip be if the car is to have an average speed of 21 m/s for the entire trip?

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Water drips from rest from a leaf that is 15 meters above the ground. Neglecting air resistance, what is the speed of each water drop when it hits the ground?

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A car is stopped at a red traffic light. When the light turns to green, the car has a constant acceleration and crosses the 9.10-m intersection in 2.86 s. What is the magnitude of the car's acceleration?

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A Canadian goose flew 845 km from Southern California to Oregon with an average speed of 28.0 m/s. How long, in hours, did it take the goose to make this journey?

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At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = -4t + t2, where the units for distance and time are meters and seconds, respectively. What is the object's displacement Δ\Delta x between t = 1.0 s and t = 3.0 s?

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A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes. Which one of the following statements concerning this situation is necessarily true?

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A rock, dropped from rest near the surface of an atmosphere-free planet, attains a speed of 20.0 m/s after falling 8.0 meters. -Determine the speed of the object after falling from rest through 16 m on this planet.

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An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. An object is moving along the x axis. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D.   -What is the acceleration of the object at t = 7.0 s? -What is the acceleration of the object at t = 7.0 s?

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A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How fast will the car be moving at the end of the second second?

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The minimum takeoff speed for a certain airplane is 75 m/s. What minimum acceleration is required if the plane must leave a runway of length 1050 m? Assume the plane starts from rest at one end of the runway.

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An object is moving along a straight line. The graph shows the object's velocity as a function of time. An object is moving along a straight line. The graph shows the object's velocity as a function of time.   -During which interval(s) of the graph does the speed of the object increase by equal amounts in equal times? -During which interval(s) of the graph does the speed of the object increase by equal amounts in equal times?

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Two objects A and B accelerate from rest with the same constant acceleration. Object A accelerates for twice as much time as object B, however. Which one of the following statements is true concerning these objects at the end of their respective periods of acceleration?

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A race car has a speed of 80 m/s when the driver releases a drag parachute. If the parachute causes a deceleration of -4 m/s2, how far will the car travel before it stops?

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A ball is dropped from rest from a tower and strikes the ground 110 m below. Approximately how many seconds does it take the ball to strike the ground after being dropped? Neglect air resistance.

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