Exam 3: Motion in Two and Three Dimensions

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A river is 0.76 km wide. The banks are straight and parallel. The current is 5.0 km/h and is parallel to the banks. A boat has a maximum speed of 3 km/h in still water. The pilot of the boat wishes to travel on a straight line from A to B, where AB is perpendicular to the banks. The pilot should

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A naughty squirrel jumps from a tree limb onto a birdfeeder. The tree limb is 4.5 m above the ground and the top of the birdfeeder is 1.5 m above the ground. If the squirrel jumps horizontally with a velocity of 2.5 m/s then how far away in the horizontal direction can the bird feeder be for the squirrel to just make it onto the top of the feeder.

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  An automobile is moving toward the east at 50 km/h, and the wind is from the north at 50 km/h. Which vector in the figure represents the wind velocity as observed by a passenger in the car? An automobile is moving toward the east at 50 km/h, and the wind is from the north at 50 km/h. Which vector in the figure represents the wind velocity as observed by a passenger in the car?

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A car is traveling east at 50 km/h. It rounds a curve, and 5 s later it is traveling north at 50 km/h. The magnitude of the average acceleration of the car is

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A train, starting from rest, accelerates along the platform at a uniform rate of 0.6 m/s2. A passenger standing on the platform is 5 m away from the door when the train starts to pull away and heads toward the door at acceleration of 1.2 m/s2. How far away from the door is the passenger after 3 seconds?

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A plane is flying horizontally at a height of 500 m and a constant speed of 429 km/h when an object is projected vertically downward at an initial speed of 35.0 m/s. If air resistance is neglected, the average vertical component of velocity between the object's release and its striking the ground is

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The position vector of an object is given by The position vector of an object is given by   and 4 s later, its position vector is   . The units are in m. The magnitude of the change in the position vector   is and 4 s later, its position vector is The position vector of an object is given by   and 4 s later, its position vector is   . The units are in m. The magnitude of the change in the position vector   is . The units are in m. The magnitude of the change in the position vector The position vector of an object is given by   and 4 s later, its position vector is   . The units are in m. The magnitude of the change in the position vector   is is

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A merry-go-round completes one revolution in 40 s. What is the centripetal acceleration of a rider located at a distance 2 m from the center of the merry go-round?

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Use the following to answer question : Use the following to answer question :   -The figure represents the parabolic trajectory of a ball going from A to E in Earth gravity but without air resistance. What is the direction of the acceleration at point C? -The figure represents the parabolic trajectory of a ball going from A to E in Earth gravity but without air resistance. What is the direction of the acceleration at point C?

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Which of the following statements is not true of a projectile moving near the surface of the earth against negligible air resistance?

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  The instantaneous velocity of a particle at t<sub>1</sub> is represented by   <sub>1</sub>, and at t<sub>2</sub> by   <sub>2</sub>. Each heavy graph division is 10 m/s on each side. Let t<sub>1</sub> = 1 s and t<sub>2</sub> = 7 s. Then the average acceleration of the particle between time t<sub>1</sub> and t<sub>2</sub> is The instantaneous velocity of a particle at t1 is represented by   The instantaneous velocity of a particle at t<sub>1</sub> is represented by   <sub>1</sub>, and at t<sub>2</sub> by   <sub>2</sub>. Each heavy graph division is 10 m/s on each side. Let t<sub>1</sub> = 1 s and t<sub>2</sub> = 7 s. Then the average acceleration of the particle between time t<sub>1</sub> and t<sub>2</sub> is 1, and at t2 by   The instantaneous velocity of a particle at t<sub>1</sub> is represented by   <sub>1</sub>, and at t<sub>2</sub> by   <sub>2</sub>. Each heavy graph division is 10 m/s on each side. Let t<sub>1</sub> = 1 s and t<sub>2</sub> = 7 s. Then the average acceleration of the particle between time t<sub>1</sub> and t<sub>2</sub> is 2. Each heavy graph division is 10 m/s on each side. Let t1 = 1 s and t2 = 7 s. Then the average acceleration of the particle between time t1 and t2 is

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  A projectile is fired horizontally in Earth gravity with an initial speed v<sub>0</sub>. In the absence of air resistance, which of the following graphs is representative of the projectile's motion? A projectile is fired horizontally in Earth gravity with an initial speed v0. In the absence of air resistance, which of the following graphs is representative of the projectile's motion?

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  The figure shows the position of the moon at two times, about 7 days apart. Which vector best represents the change in the moon's velocity in this time interval? The figure shows the position of the moon at two times, about 7 days apart. Which vector best represents the change in the moon's velocity in this time interval?

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Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v. Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v.   -Which of the vector diagrams below best represent the change in position vector from P<sub>1</sub> to P<sub>2</sub>?  -Which of the vector diagrams below best represent the change in position vector from P1 to P2? Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v.   -Which of the vector diagrams below best represent the change in position vector from P<sub>1</sub> to P<sub>2</sub>?

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A baseball is thrown with a velocity  A baseball is thrown with a velocity   at an angle  \theta  with the horizontal. The horizontal component of its velocity in the absence of air resistance is at an angle θ\theta with the horizontal. The horizontal component of its velocity in the absence of air resistance is

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A vector has an x component of -5.51 units and a y component of +9.52 units. The angle between the positive direction of the vector and the positive direction of the x axis is

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A ball is whirled in a horizontal circle of radius r and speed v. The radius is increased to 2r keeping the speed of the ball constant. The period of the ball changes by a factor of

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An airplane is heading due east. The airspeed indicator shows that the plane is moving at a speed of 370 km/h relative to the air. If the wind is blowing from the south at 92.5 km/h, the velocity of the airplane relative to the ground is

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A pilot wants the heading of an airplane to be 45º east of north. The wind is from 270º at 32 km/h, and the speed of the airplane through the air is 320 km/h. The pilot should maintain a heading of approximately

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Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v. Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v.   -Which of the vector diagrams below best represent the change in velocity vector from P<sub>1</sub> to P<sub>2</sub>?  -Which of the vector diagrams below best represent the change in velocity vector from P1 to P2? Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v.   -Which of the vector diagrams below best represent the change in velocity vector from P<sub>1</sub> to P<sub>2</sub>?

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