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Exam 4: Kinematics in Two Dimensions

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Question 31

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A projectile is fired from point 0 at the edge of a cliff,with initial velocity components of v_0x = 60.0 m/s and v_0y = 175 m/s,as shown in the figure.The projectile rises and then falls into the sea at point P.The time of flight of the projectile is 40.0 s,and it experiences no appreciable air resistance in flight.What is the height of the cliff?

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Question 32

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While an object is in projectile motion (with upward being positive) with no air resistance

A) the horizontal component of its velocity remains constant and the horizontal component of its acceleration is equal to -g.
B) the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.
C) the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to zero.
D) the vertical component of both its velocity and its acceleration remain constant.
E) the vertical component of its velocity remains constant and the vertical component of its acceleration is equal to -g.

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Question 33

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A swimmer heading directly across a river 200 m wide reaches the opposite bank in during which time she is swept downstream 480 m. (a)How fast can she swim in still water? (b)What is the speed of the current?

An airplane flies between two points on the ground that are 500 km apart.The destination is directly north of the origination of the flight.The plane flies with an air speed of 120 m/s.If a constant wind blows at 10.0 m/s due west during the flight,what direction must the plane fly relative to north to arrive at the destination?

A ball is tied to the end of a cable of negligible mass.The ball is spun in a circle with a radius 2.00 m making 7.00 revolutions every 10.0 seconds.What is the magnitude of the acceleration of the ball?

A catapult is tested by Roman legionnaires.They tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units) : angle of landing height = launch height.What is the initial velocity of launch of the boulders if air resistance is negligible?

Alice and Tom dive from an overhang into the lake below.Tom simply drops straight down from the edge,but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Just as they reach the lake below

A hiker throws a stone from the upper edge of a vertical cliff.The stone's initial velocity is 25.0 m/s directed at 40.0° with the face of the cliff,as shown in the figure.The stone hits the ground 3.75 s after being thrown and feels no appreciable air resistance as it falls. (a)What is the height of the cliff? (b)How far from the foot of the cliff does the stone land? (c)How fast is the stone moving just before it hits the ground?

A monkey is sitting at the top of a tree 20 m above ground level.A person standing on the ground wants to feed the monkey.He uses a bow and arrow to launch the food to the monkey.If the person knows that the monkey is going to drop from the tree at the same instant that the person launches the food,how should the person aim the arrow containing the food? Air resistance is small enough to be ignored.