Exam 3: Motion in Two and Three Dimensions

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As the Earth travels around the Sun the Moon is traveling around the Earth.Find the minimum speed of the Moon (relative to the Sun)as it travels around the Sun.The Earth's orbital radius around the Sun is 1.50 * 1011 m and the Moon's orbit has a radius of 3.85 * 108 m.The time for the Earth's journey around the Sun is 3.156 * 107 s and the Moon takes 2.36 * 106 s to travel around the Earth.

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Tennis ball A is dropped from a height of 15 m.Tennis ball B is thrown horizontally from a height of 15 m with a horizontal velocity of 25 m/s.Which tennis ball hits the ground first?

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I throw a ball into the air at some angle with respect to the horizontal.Neglecting the effect of friction,which of the following statements about the ball is true?

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You toss a stone vertically upward and it reaches a maximum height of 2.06 m above the launch point.The initial velocity of the stone was

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A tube is mounted on a railcar which is moving at 30 m/s.Rain is falling vertically at a constant rate of 12 m/s.The minimum angle of tilt of the tube for not getting any rain on its inside is

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Bill is riding a flatbed railroad car travelling down the tracks at 16 m/s.The instant he passes Ted on the side of the train tracks,he throws a water balloon at him at such an angle that the balloon travels perpendicular to the train's direction of motion and strikes Ted squarely in the face.If Bill threw the balloon relative to the train at a speed of 24 m/s,with what speed did the balloon hit his friend?

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A skier leaves a ski jump with a horizontal velocity of 21.0 m/s (and no vertical velocity component).The skier lands three seconds later.What is the magnitude of the horizontal component of the skier's displacement during the jump

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The position of a particle as a function of time is given by. The position of a particle as a function of time is given by.   Its velocity at t = 3 s is Its velocity at t = 3 s is

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A football resting on the ground is kicked at an angle of 35.0 \circ towards the uprights with an initial speed of 20.0 m/s.What is the maximum height (in meters)reached by the ball?

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A gun is fired horizontally from the top of a cliff with a velocity of 325 m/s.How far does the bullet drop in meters below the horizontal in 1.2 seconds?

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A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the horizontal component of her velocity the instant before she lands is 19.6 m/s,how much time elapses between leaving the jump and landing?

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A skier leaves a ski jump with a horizontal velocity of 27.0 m/s (and no vertical velocity component).The skier lands 2.50 seconds later.What is the magnitude of the skier's displacement during the jump

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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 8.0 m/s.If the width of the river is 80.0 m,how long does it take the boat to cross 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 8.0 m/s.If the width of the river is 80.0 m,how long does it take the boat to cross the river?

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A ball is thrown up in the air with a velocity v at an angle 45 \circ with respect to the ground.At the very top of its motion the y-component of the acceleration will be

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A ball is launched from horizontal ground from the origin with an initial speed vo and angle 45 \circ above the horizontal.What is the horizontal position of the projectile when its horizontal position is equal to twice its vertical position?

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A plane flying at a speed 180 mph over the ocean drops an 81 kg package straight down.A boat 3 miles below is sent to intercept the package.How far away does the boat have to travel from the drop point to retrieve the package? (1mile=1.609 km)

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Bullet A is dropped,from rest,at the same time that another bullet B is fired horizontally from a rifle.If both bullets leave from the same height above ground,then

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As the Earth travels around the Sun the Moon is traveling around the Earth.Find the maximum speed of the Moon (relative to the Sun)as it travels around the Sun.The Earth's orbital radius around the Sun is 1.50 * 1011 m and the Moon's orbit has a radius of 3.85 * 108 m.The time for the Earth's journey around the Sun is 3.156 * 107 s and the Moon takes 2.36 * 106 s to travel around the Earth.

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A skier leaves a ski jump with a horizontal velocity of 24.0 m/s (and no vertical velocity component).The skier lands two seconds later.What is the magnitude of the vertical component of the skier's displacement during the jump

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The maximum height above ground you can achieve with a projectile launched vertically upward from ground level,if you are able to give it an initial speed of 65.0 m/s,is

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