Exam 4: Motion in Two and Three Dimensions

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Identical guns fire identical bullets horizontally at the same speed from the same height above level planes, one on the Earth and one on the Moon.Which of the following three statements is/are true? I.The horizontal distance traveled by the bullet is greater for the Moon. II.The flight time is less for the bullet on the Earth. III.The velocities of the bullets at impact are the same.

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A plane traveling north at 200 m/s turns and then travels south at 200 m/s.The change in its velocity is:

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A ferry boat is sailing at 12 km/h 30° W of N with respect to a river that is flowing at 6.0 km/h E.As observed from the shore, the ferry boat is sailing:

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A motor boat can travel at 10 km/h in still water.A river flows at 5 km/h west.A boater wishes to cross from the south bank to a point directly opposite on the north bank.At what angle must the boat be headed?

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An object has a velocity of (5.4 m/s) An object has a velocity of (5.4 m/s)   − (4.8 m/s)   .Over a period of 1.3 s, its velocity changes to (1.7 m/s)   + (5.9 m/s)   .What is its acceleration? − (4.8 m/s) An object has a velocity of (5.4 m/s)   − (4.8 m/s)   .Over a period of 1.3 s, its velocity changes to (1.7 m/s)   + (5.9 m/s)   .What is its acceleration? .Over a period of 1.3 s, its velocity changes to (1.7 m/s) An object has a velocity of (5.4 m/s)   − (4.8 m/s)   .Over a period of 1.3 s, its velocity changes to (1.7 m/s)   + (5.9 m/s)   .What is its acceleration? + (5.9 m/s) An object has a velocity of (5.4 m/s)   − (4.8 m/s)   .Over a period of 1.3 s, its velocity changes to (1.7 m/s)   + (5.9 m/s)   .What is its acceleration? .What is its acceleration?

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A jet plane in straight horizontal flight passes over your head.When it is directly above you, the sound seems to come from a point behind the plane in a direction 30 °\degree from the vertical.The speed of the plane is:

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The velocity of a projectile equals its initial velocity added to:

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The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h.At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2. The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h.At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s<sup>2</sup>.

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A stone is tied to a string and whirled at constant speed in a horizontal circle.The speed is then doubled without changing the length of the string.Afterward the magnitude of the acceleration of the stone is:

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An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s2) An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s<sup>2</sup>)   + (8.6 m/s<sup>2</sup>)   .After accelerating for 4.7 seconds its coordinates are: + (8.6 m/s2) An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s<sup>2</sup>)   + (8.6 m/s<sup>2</sup>)   .After accelerating for 4.7 seconds its coordinates are: .After accelerating for 4.7 seconds its coordinates are:

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A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground).A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat).The speed of the man with respect to the ground is:

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A bomber flying in level flight with constant velocity drops a bomb before it is over the target.Neglecting air resistance, which one of the following is NOT true?

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Which of the curves on the graph below best represents the vertical component vy versus t for a projectile fired at an angle of 45° above the horizontal? Which of the curves on the graph below best represents the vertical component v<sub>y</sub> versus t for a projectile fired at an angle of 45° above the horizontal?

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A cannon fires a projectile as shown.The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals.If g = 10 m/s2, the lengths X,Y,Z are: A cannon fires a projectile as shown.The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals.If g = 10 m/s<sup>2</sup>, the lengths X,Y,Z are:

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A boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point.He can row at 2 m/s in still water and the river is flowing at 1 m/s.At what angle θ\theta should he point the bow (front)of his boat?  A boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point.He can row at 2 m/s in still water and the river is flowing at 1 m/s.At what angle   \theta   should he point the bow (front)of his boat?

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Acceleration is defined as:

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