Exam 2: Motion Along a Straight Line

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If the graph of the position as a function of time for an object is a horizontal line,that object cannot be accelerating.

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

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(a)0.56 m/s (b)0.11 m/s

The position of an object as a function of time is given by x = The position of an object as a function of time is given by x =   - ct,where   and   and x and t are in SI units.What is the instantaneous velocity of the object when  - ct,where The position of an object as a function of time is given by x =   - ct,where   and   and x and t are in SI units.What is the instantaneous velocity of the object when  and The position of an object as a function of time is given by x =   - ct,where   and   and x and t are in SI units.What is the instantaneous velocity of the object when  and x and t are in SI units.What is the instantaneous velocity of the object when The position of an object as a function of time is given by x =   - ct,where   and   and x and t are in SI units.What is the instantaneous velocity of the object when

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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? 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?

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A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2.At 15.4 s after blastoff,the engines fail completely so the only force on the rocket from then on is the pull of gravity. (a)What is the maximum height the rocket will reach above the launchpad? (b)How fast is the rocket moving at the instant before it crashes onto the launchpad? (c)How long after engine failure does it take for the rocket to crash onto the launchpad?

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A toy rocket is launched vertically from ground level A toy rocket is launched vertically from ground level   ,at time   .The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 72 m and acquired a velocity of   The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground with negligible air resistance.The speed of the rocket upon impact on the ground is closest to ,at time A toy rocket is launched vertically from ground level   ,at time   .The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 72 m and acquired a velocity of   The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground with negligible air resistance.The speed of the rocket upon impact on the ground is closest to .The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 72 m and acquired a velocity of A toy rocket is launched vertically from ground level   ,at time   .The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 72 m and acquired a velocity of   The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground with negligible air resistance.The speed of the rocket upon impact on the ground is closest to The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground with negligible air resistance.The speed of the rocket upon impact on the ground is closest to

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A ball is projected upward at time t = 0.0 s,from a point on a roof 90 m above the ground.The ball rises,then falls and strikes the ground.The initial velocity of the ball is A ball is projected upward at time t = 0.0 s,from a point on a roof 90 m above the ground.The ball rises,then falls and strikes the ground.The initial velocity of the ball is   if air resistance is negligible.The time when the ball strikes the ground is closest to if air resistance is negligible.The time when the ball strikes the ground is closest to

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A airplane that is flying level needs to accelerate from a speed of A airplane that is flying level needs to accelerate from a speed of   to a speed of   while it flies a distance of 1.20 km.What must be the acceleration of the plane? to a speed of A airplane that is flying level needs to accelerate from a speed of   to a speed of   while it flies a distance of 1.20 km.What must be the acceleration of the plane? while it flies a distance of 1.20 km.What must be the acceleration of the plane?

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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?

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Two objects are thrown from the top of a tall building and experience no appreciable air resistance.One is thrown up,and the other is thrown down,both with the same initial speed.What are their speeds when they hit the street?

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An object is moving in a straight line along the x-axis.A plot of its velocity in the x direction as a function of time is shown in the figure.Which graph represents its acceleration in the x direction as a function of time? An object is moving in a straight line along the x-axis.A plot of its velocity in the x direction as a function of time is shown in the figure.Which graph represents its acceleration in the x direction as a function of time?

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A soccer ball is released from rest at the top of a grassy incline.After 8.6 seconds,the ball travels 87 meters and 1.0 s after this,the ball reaches the bottom of the incline. (a)What was the magnitude of the ball's acceleration,assume it to be constant? (b)How long was the incline?

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The figure shows the position of an object (moving along a straight line)as a function of time.Assume two significant figures in each number.Which of the following statements about this object is true over the interval shown? The figure shows the position of an object (moving along a straight line)as a function of time.Assume two significant figures in each number.Which of the following statements about this object is true over the interval shown?

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An object is moving with constant non-zero acceleration along the +x-axis.A graph of the velocity in the x direction as a function of time for this object is

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When can we be certain that the average velocity of an object is always equal to its instantaneous velocity?

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An object starts from rest at time t = 0.00 s and moves in the +x direction with constant acceleration.The object travels 12.0 m from time t = 1.00 s to time An object starts from rest at time t = 0.00 s and moves in the +x direction with constant acceleration.The object travels 12.0 m from time t = 1.00 s to time   .What is the acceleration of the object? .What is the acceleration of the object?

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The position of an object is given by The position of an object is given by   where       and x and t are in SI units.What is the instantaneous acceleration of the object when  where The position of an object is given by   where       and x and t are in SI units.What is the instantaneous acceleration of the object when  The position of an object is given by   where       and x and t are in SI units.What is the instantaneous acceleration of the object when  The position of an object is given by   where       and x and t are in SI units.What is the instantaneous acceleration of the object when  and x and t are in SI units.What is the instantaneous acceleration of the object when The position of an object is given by   where       and x and t are in SI units.What is the instantaneous acceleration of the object when

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A racing car accelerates uniformly from rest along a straight track.This track has markers spaced at equal distances along it from the start,as shown in the figure.The car reaches a speed of 140 km/h as it passes marker 2.Where on the track was the car when it was traveling at 70 km/h? A racing car accelerates uniformly from rest along a straight track.This track has markers spaced at equal distances along it from the start,as shown in the figure.The car reaches a speed of 140 km/h as it passes marker 2.Where on the track was the car when it was traveling at 70 km/h?

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

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A ball is projected upward at time t = 0.00 s,from a point on a roof 70 m above the ground and experiences negligible air resistance.The ball rises,then falls and strikes the ground.The initial velocity of the ball is A ball is projected upward at time t = 0.00 s,from a point on a roof 70 m above the ground and experiences negligible air resistance.The ball rises,then falls and strikes the ground.The initial velocity of the ball is   Consider all quantities as positive in the upward direction.The velocity of the ball when it is   above the ground is closest to Consider all quantities as positive in the upward direction.The velocity of the ball when it is A ball is projected upward at time t = 0.00 s,from a point on a roof 70 m above the ground and experiences negligible air resistance.The ball rises,then falls and strikes the ground.The initial velocity of the ball is   Consider all quantities as positive in the upward direction.The velocity of the ball when it is   above the ground is closest to above the ground is closest to

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