Exam 2: Motion in One Dimension

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John throws a rock down with speed 15 m/s from the top of a 27-m tower.If g = 9.8 m/s2 and air resistance is negligible,what is the rock's speed just as it hits the ground?

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Starting from rest,a car accelerates down a straight road with constant acceleration a for a time t,then the direction of the acceleration is reversed, (i.e. ,it is −a),and the car comes to a stop in an additional time t,the time for the whole trip being 2t.At what time,or times,is the average velocity of the car for the trip equal to its instantaneous velocity during the trip?

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A Cessna aircraft has a lift-off speed of 120 km/hr.What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 270 m? ​

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A cheetah can maintain its maximum speed of 97 km/hr for 29.0 seconds.What minimum distance must a gazelle running 78 km/hr be ahead of the cheetah to escape?

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