Exam 3: Vectors and Two-Dimensional Motion

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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 20 mph.How long will it take for the plane to travel 240 miles north? ​

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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 an equal shoulder level)by the catcher.At what point is the ball's speed at a minimum? (air resistance is negligible)

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The following force vectors act on an object: i)55.0 newtons at 45.0° north of east and ii)25.0 newtons at 30.0° south of east.Which of the following represents the magnitude of the resultant and its angle relative to the easterly direction? ​

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A baseball leaves the bat with a speed of 43 m/s and an angle of 45° above the horizontal.A 5.0-m-high fence is located at a horizontal distance of 136 m from the point where the ball is struck.Assuming the ball leaves the bat 1.0 m above ground level,by how much does the ball clear the fence? ​

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The highest mountain on Mars is Olympus Mons,rising 22 000 meters above the Martian surface.If we were to throw an object horizontally off the mountain top,how long would it take to reach the surface? (Ignore atmospheric drag forces and use gMars = 3.72 m/s2. )

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The first displacement is 8 m,and the second displacement is 4 m.They cannot add together to give a total displacement of: ​

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In a 2-dimensional Cartesian coordinate system the x-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function,with respect to the angle between vector and x-axis?

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Which type of quantity is characterized by both magnitude and direction?

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An object,initially moving in the negative x-direction,is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin,into which quadrant does this vector point?

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Jack pulls a sled across a level field by exerting a force of 110 N at an angle of 30° with the ground.What are the parallel and perpendicular components,respectively,of this force with respect to the ground?​

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Superguy is flying at treetop level near Paris when he sees the Eiffel Tower elevator start to fall (the cable snapped).His x-ray vision tells him Lois LaTour is inside.If Superguy is 1.4 km away from the tower,and the elevator falls from a height of 210 m,how long does Superguy have to save Lois,and what must be his average speed? ​

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A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal.How long is he in the air before returning to Earth? (g = 9.8 m/s2) ​

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An object moves at a constant velocity of 16 m/s to the southwest for an interval of 30 s.Halfway through this interval,what is the magnitude of its instantaneous velocity? ​

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VectorsVectors , ,and Have magnitudes 8,13,and 22.When these vectors are added,what is the least possible magnitude of their resultant? ​,Vectors , ,and Have magnitudes 8,13,and 22.When these vectors are added,what is the least possible magnitude of their resultant? ​,andVectors , ,and Have magnitudes 8,13,and 22.When these vectors are added,what is the least possible magnitude of their resultant? ​Have magnitudes 8,13,and 22.When these vectors are added,what is the least possible magnitude of their resultant? ​

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