Exam 3: Motion in Two and Three Dimensions

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A boat crosses a river which is flowing at 10.0 m/s.The driver of the boat wants to cross the river and arrive directly across the river from where he departed (point A to point B).If the speed of the boat relative to the river is 15.0 m/s,what angle, θ\theta must the driver steer the boat?  A boat crosses a river which is flowing at 10.0 m/s.The driver of the boat wants to cross the river and arrive directly across the river from where he departed (point A to point B).If the speed of the boat relative to the river is 15.0 m/s,what angle, \theta  must the driver steer the boat?

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You are walking to catch your plane and decide to take the moving sidewalk in the airport.It has an average speed of 2.0 m/s.If you are walking with a speed of 1.5 m/s and the walkway is 85.0 m long.How long will it take you to travel the 85.0 m?

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A golf ball is hit and makes a 45 ∘\circ angle with the horizontal as it leaves the tee.It lands 200 m away.What was the ball's initial speed?

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The wind is blowing due west with a speed of 16 m/s,and a pilot with a 30 m/s plane wants to fly due north.Which picture below best describes what the heading of the plane should be? The wind is blowing due west with a speed of 16 m/s,and a pilot with a 30 m/s plane wants to fly due north.Which picture below best describes what the heading of the plane should be?

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A particle moves from an initial position with coordinates x = -2.0 m,y = +3.0 m,to a final position with coordinates x = +5.0 m,y = +7.0 m in a time interval of 10 s.What is the magnitude of the average velocity for this displacement?

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A ball is thrown upward with a velocity of 17.0 m/s at an angle of 50.0 ∘\circ with respect to the horizontal.What will be its speed in m/s after 0.800 seconds?

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An airplane moves at 120 m/sec to the west with respect to the air.The air moves at 50 m/sec to the south with respect to the ground.How fast does the airplane move with respect to the ground?

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At what angle measured with the horizon must a projectile be launched such that its range is equal to its maximum height? Ignore air resistance.

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A baseball is hit at a 45 ∘\circ angle with a speed of 50 meters/second.How far does it go (in meters)before it hits the ground (within 5% accuracy)? (Ignore wind resistance and assume that the ground level is the same as the level it was hit from.)

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A ball is thrown from the ground.Its velocity after 4 seconds is (15 A ball is thrown from the ground.Its velocity after 4 seconds is (15   -3   )m/s.The hang time of the ball is -3 A ball is thrown from the ground.Its velocity after 4 seconds is (15   -3   )m/s.The hang time of the ball is )m/s.The hang time of the ball is

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A golf ball is hit horizontally from the edge of a ramp.It lands at an elevation 200 m below and its trajectory upon landing is 45 ∘\circ angle below the horizontal.What was the ball's initial speed?

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A projectile is launched at 10.0 m/s in a direction 45.0 degrees above the horizon.It hits the ground 10.0 m below its initial position.What is its speed just before hitting the ground? Ignore air resistance.

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A bullet is shot horizontally from the edge of a cliff at a height of 100 m above the ground.The initial speed of the bullet is 150 m/s.It hits the ground from the base of the cliff at a horizontal distance of

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A boat crosses a river which is flowing at 6.0 m/s.The boat travels directly across the river from A to B and the speed of the boat relative to the river is 10.0 m/s.While it is crossing the river,what is the speed of the boat relative to the shore (point a) A boat crosses a river which is flowing at 6.0 m/s.The boat travels directly across the river from A to B and the speed of the boat relative to the river is 10.0 m/s.While it is crossing the river,what is the speed of the boat relative to the shore (point a)

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A child kicks a football with an initial velocity of 25.0 m/s at an angle of 38 ∘\circ above horizontal.The ball lands at the same height from which it was kicked.What is the range of the ball?

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An object is launched up a 30 degree slope at an angle of 20 degrees above the incline of the slope and lands a distance of 3.12 m up the slope.What is the object's initial speed? An object is launched up a 30 degree slope at an angle of 20 degrees above the incline of the slope and lands a distance of 3.12 m up the slope.What is the object's initial speed?

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A machine can toss a golf ball a distance of 120 m on a level field when the machine is set to an angle of 30 degrees.How far can the machine toss a golf ball when it is set to an angle of 45 degrees?

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An airplane's speed with respect to the air is 100 m/sec.The velocity of the air with respect to the ground is 30.0 m/sec to the northeast.What is the direction of the airplane's velocity with respect to the air if the direction of its velocity with respect to the ground is due east?

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A golf ball is hit with an initial angle of 32.3 ∘\circ with respect to the horizontal and an initial velocity of 89.7 mph.It lands a distance of 96.2 m away from where it was hit.By how much (in meters)did the wind resistance reduce the range of the golf ball?

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A boat crosses a river which is flowing at 6.0 m/s.The boat travels directly across the river from A to B and the speed of the boat relative to the river is 9.0 m/s.If it takes the boat 10.0 seconds to cross the river,how wide is the river? A boat crosses a river which is flowing at 6.0 m/s.The boat travels directly across the river from A to B and the speed of the boat relative to the river is 9.0 m/s.If it takes the boat 10.0 seconds to cross the river,how wide is the river?

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