Exam 3: Motion in Two Dimensions

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A vector A vector   has components A<sub>x</sub> < 0, and A<sub>y</sub> < 0, the angle that this vector makes with the positive x-axis must be in the range has components Ax < 0, and Ay < 0, the angle that this vector makes with the positive x-axis must be in the range

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  -Refer to Figure 3-2. The components of vectors A and B are -Refer to Figure 3-2. The components of vectors A and B are

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A particle initially moving with a velocity 2 m/s experiences a constant acceleration of 1 m/s2 in the +x-direction and -2 m/s2 in the y-direction. What are the velocity components of the particle after 4 s?

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Holly intends to swim to a point straight across a 100. m wide river that flows at 1.2 m/s. If she can swim 2.5 m/s in still water, at what angle must she swim upstream to achieve her goal?

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If I walk 8.0 meters in a straight line and then walk 5.0 meters in another straight line, the total displacement cannot have a magnitude of

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A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory? (Neglect air friction.)

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Consider a velocity with components 36. m/s Westward and 22. m/s Northward. What is its magnitude and direction?

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Neglecting the effect of air friction, at what angle should a cannon be raised to achieve the greatest HEIGHT?

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A marble moving 1.48 m/s rolls off the top edge of a 125. cm high table. (a) How far from the base of the table did it strike the floor? (b) How long was it "in flight"?

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A vectorA vector has components A<sub>x</sub> > 0, and A<sub>y</sub> > 0, the angle that this vector makes with the positive x-axis must be in the rangehas components Ax > 0, and Ay > 0, the angle that this vector makes with the positive x-axis must be in the range

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A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 300 m. How fast can she swim in still water?

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A 960. m wide river flows at 16. m/s as shown in Figure 3-8. Alice and John have a race in identical boats which travel 20. m/s in still water. Alice leaves point A and steers so that she goes straight to point B directly across and then back to A. John steers up to point C (960. m upstream) and then returns to A. Figure 3-8 A 960. m wide river flows at 16. m/s as shown in Figure 3-8. Alice and John have a race in identical boats which travel 20. m/s in still water. Alice leaves point A and steers so that she goes straight to point B directly across and then back to A. John steers up to point C (960. m upstream) and then returns to A. Figure 3-8     (a) Which person arrived back at A first? (b) How much sooner did the winner arrive back at A? (a) Which person arrived back at A first? (b) How much sooner did the winner arrive back at A?

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You toss a ball to your friend. When the ball reaches its maximum altitude, its velocity is

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A car and a truck are traveling in the same direction along a straight section of highway. The car is moving at 55. mph and the truck is moving 45. mph. What is the velocity of the car relative to the truck?

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A child drops a toy at rest from a point 4.0 m above the ground at the same instant her friend throws a ball upward at 6 m/s from a point 1.0 m above the ground. At what distance above the ground do the ball and the toy cross paths?

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A car travels east with a constant velocity. The magnitude of the acceleration of the car is

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When air resistance is a factor, maximum range is achieved when the projection angle is

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A train traveling at 50. km/h approaches another train moving toward the first at 90. km/h. If they are 35. km apart (on a straight track) how long does it take before they meet?

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The sum of two vectors has the greatest magnitude when the angle between these two vectors is

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A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

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