Exam 3: Vectors and Two-Dimensional Motion

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A plane is moving due north,directly towards its destination.Its airspeed is 230 mph.A constant breeze is blowing from west to east at 30 mph.In which direction is the plane pointed? ​

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A runner circles a track of radius 150 m in 150 s moving at a constant rate.If the runner was initially moving north,what has been the runner's average acceleration when halfway around the track? ​

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A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 11.1 m/s.A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.5 s.What is the height of the cliff? (g = 9.8 m/s2 and air resistance is negligible) ​

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A baseball is thrown by the center fielder (from shoulder level)to home plate where it is caught (on the fly at shoulder level)by the catcher.At what point does the magnitude of the vertical component of velocity have its minimum value? (air resistance is negligible)

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When we add a displacement vector to another displacement vector,the result is

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A plane is moving due north,directly towards its destination.Its airspeed is 240 mph.A constant breeze is blowing from west to east at 50 mph.At what rate is the plane moving north? ​

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A stone is thrown with an initial speed of 14.8 m/s at an angle of 51° above the horizontal from the top of a 35 m building.If g = 9.8 m/s2 and air resistance is negligible,then what is the magnitude of the vertical velocity component of the rock as it hits the ground? ​

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A taxicab moves five blocks due north,six blocks due east,and another three blocks due north.Assume all blocks are of equal size.What is the magnitude of the taxi's displacement,start to finish? ​

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A rifle is aimed horizontally toward the center of a target 110 m away.If the bullet strikes 10 cm below the center,what was the velocity of the bullet? (Ignore air friction. ) ​

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A stone is thrown at an angle of 45° above the horizontal from the top edge of a cliff with an initial speed of 15 m/s.A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.4 s.How far out from the cliff's edge does the stone travel horizontally? (g = 9.8 m/s2 and air resistance is negligible)

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A hiker walks 200 m west and then walks 100 m north.In what direction is her resulting displacement?

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Vector 1 is 8 units long and is at 225°.Vector 2 is 5 units long and is at 120°.Vector 3 is 4 units long and is at 70°.Which vector has equal magnitude components? ​

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When we subtract a velocity vector from another velocity vector,the result is

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A stone is thrown with an initial speed of 10.3 m/s at an angle of 51° above the horizontal from the top of a 32 m building.If g = 9.8 m/s2 and air resistance is negligible,then what is the speed of the rock as it hits the ground? ​

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A ball is launched from ground level at 28 m/s at an angle of 37° above the horizontal.How far does it go before it is at ground level again? ​

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Arvin the Ant travels 35 cm eastward,then 20 cm northward,and finally 10 cm westward.What is Arvin's direction of displacement with respect to his original position? ​

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A car is initially moving at 20 m/s east,and a little while later it is moving at 10 m/s north.Which of the following best describes the orientation of the average acceleration during this time interval?

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Plane A is flying at 440 mph in the northeast direction relative to the earth.Plane B is flying at 550 mph in the north direction relative to the earth.What is the speed of Plane B as observed from Plane A? ​

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VectorVector Is 3.0 units in length and points along the positive x-axis;vector  Is 7.0 units in length and points along a direction 150° from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis? ​Is 3.0 units in length and points along the positive x-axis;vectorVector Is 3.0 units in length and points along the positive x-axis;vector  Is 7.0 units in length and points along a direction 150° from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis? ​ Is 7.0 units in length and points along a direction 150° from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis? ​

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A jet airliner moving at 530 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30° north of east.What is the new velocity and direction of the aircraft? ​

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