Exam 3: Vectors and Two-Dimensional Motion

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A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.30 s.How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)

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Vector 1 is 7 units long and is at 70 °\degree .Vector 2 is 5 units long and is at 225 °\degree .Vector 3 is 3 units long and is at 150 °\degree .Which vector has equal magnitude components?

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Arvin the Ant is on a picnic table.He travels 30 cm eastward,then 25 cm northward,and finally 15 cm westward.What is the magnitude of Arvin's net displacement?

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Vector  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree from the positive x-axis.What is the magnitude of the resultant when vectors   and   are added? is 3.0 units in length and points along the positive x-axis;vector  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree from the positive x-axis.What is the magnitude of the resultant when vectors   and   are added? is 4.0 units in length and points along a direction 150 °\degree from the positive x-axis.What is the magnitude of the resultant when vectors  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree from the positive x-axis.What is the magnitude of the resultant when vectors   and   are added? and  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree from the positive x-axis.What is the magnitude of the resultant when vectors   and   are added? are added?

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Vector  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree 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;vector  Vector   is 3.0 units in length and points along the positive x-axis;vector   is 4.0 units in length and points along a direction 150  \degree from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis? is 4.0 units in length and points along a direction 150 °\degree from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis?

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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 following force vectors act on an object: i)50.0 newtons at 45.0 °\degree north of east and ii)25.0 newtons at 30.0 °\degree 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 projectile is fired at an angle of elevation of 60 °\degree .Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?

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When three vectors are added graphically and form a closed triangle,the largest enclosed angle between any two of the vectors cannot be greater than:

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Wiley Coyote has missed the elusive road runner once again.This time,he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep,how far from his starting point at the edge of the cliff does the coyote land?

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A river flows due east at 3.0 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?

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Which of the following is an example of a vector quantity?

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A jogger runs halfway around a circular path with a radius of 60 m.What,respectively,are the magnitude of the displacement and the distance jogged?

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A stone is thrown with an initial speed of 15 m/s at an angle of 53 °\degree above the horizontal from the top of a 35 m building.If g = 9.8 m/s2 and air resistance is negligible,what is the magnitude of the horizontal displacement of the rock?

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