Exam 2: Motion in One Dimension

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Mt.Everest is more than 8 000 m high.How fast would an object be moving if it could free fall to sea level after being released from an 8 000-m elevation? (Ignore air resistance. )

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On a position-versus-time graph,the slope of the straight line joining two points on the plotted curve that are separated in time by the interval Δt,is which of the following quantities?

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A bird,accelerating from rest at a constant rate,experiences a displacement of 25 m in 12 s.What is its acceleration?

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Consider the magnitude of the average speed,v​avg,speed,mag,and the magnitude of the average velocity,v​avg,velocity,mag,for the same trip.Which of the following is always true?

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Human reaction time is usually about 0.18 s.If your lab partner holds a ruler between your finger and thumb and releases it without warning,how far can you expect the ruler to fall before you catch it? The nearest value is​

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A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/h in 6.00 s.What distance will the sports car travel during the 6.00-s acceleration period? (Hint: First convert speed to m/s. )

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If a is acceleration,v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

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A baseball is released at rest from the top of the Washington Monument.It hits the ground after falling for 5.85 s.What was the height from which the ball was dropped? (g = 9.80 m/s2 and assume air resistance is negligible)​

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A change in a physical quantity w having initial value wi and final value wf is given by which of the following?

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Two students are working on the same constant-acceleration problem involving a car undergoing constant acceleration,having started from rest and after a certain time having traveled a distance of 108 m.The students are to find the average velocity.Both students are required to show their work and round any intermediate answers as well as the final answer properly to 3 significant figures.Each rounded answer is to be used in the next step of calculation as they proceed.For the final answer,Student A uses the formula v​avg = (​xf - xi)/(tf - ti)getting the result 7.26 m/s,and Student B uses the formula v​avg = (v​0 + v)/2 getting the result 7.29 m/s.Assuming neither student makes a mistake,which student has the better answer?

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A ball is pushed downhill with an initial velocity of 3.0 m/s.The ball rolls down a hill with a constant acceleration of 1.6 m/s2.The ball reaches the bottom of the hill in 6.0 s.What is the ball's velocity at the bottom of the hill?

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An object moves 10 m east in 30 s and then returns to its starting point taking an additional 50 s.If west is chosen as the positive direction,what is the sign associated with the average velocity of the object?

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A rock is rolled in the sand.It starts at 5.0 m/s,moves in a straight line for a distance of 6.0 m,and then stops.What is the magnitude of the average acceleration?

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An object moves at a constant velocity of 12 m/s to the southwest for an interval of 20 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?

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A truck moves 80.0 m east,then moves 140.0 m west,and finally moves east again a distance of 80.0 m.If east is chosen as the positive direction,what is the truck's resultant displacement?

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The distance of the Earth from the Sun is 93 000 000 miles.If there are 3.15 × 107 s in one year,find the speed of the Earth in its orbit about the Sun.

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A rock,released at rest from the top of a tower,hits the ground after 3.5 s.What is the speed of the rock as it hits the ground? (g = 9.8 m/s2 and air resistance is negligible)

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A speeding car traveling at a constant velocity of v passes a police car initially at rest beside the roadway.If the police car with constant acceleration of a immediately pursues the speeding car,how long is it before the police car is directly behind the speeding car?

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On a velocity-time graph for a particle,suppose the plot starts at some positive velocity and then follows a straight line to zero at a later time.Which of the following must be true about a position vs.time graph for this same time interval?

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