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ch_13_problems_v1

# ch_13_problems_v1 - 15-94 Chapter 15 Homework Problems 13.1...

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15-94 Chapter 15: Homework Problems 13.1 Rectilinear Motion (a) The displacement of a particle is given by s = At 3 - Bt 2 - Ct - 50 m . If A = 1 m/s 3 , B = 2 m/s 2 , and C = 3 m/s , plot the displacement, velocity, and acceleration for the first 6 seconds. (b) The velocity of a particle is given by v x = x and s = 1 m at t = 0, determine the position as a function of time. (c) The acceleration of a particle is given by a x = 2 v x , and x = 0 and v x = 1 m/s at t = 0. Determine the velocity as a function of time. 13.2 Motorcycles (a) A motorcyclist moves at a speed of 35 m/s down a straight road and sees traffic ahead. If the rider applies the brakes lightly and decelerates at a constant rate of 5 m/s 2 , how far does the motorcycle travel before it stops. (b) In the same scenario, how far does the motorcycle travel if it decelerates at a rate of (5 m/s 3 ) t ? 13.3 The first appearance of Superman was in Action Comics #1 in 1938. Created by writer Jerry Siegel and artist Joe Shuster, his powers granted him the ability to leap tall buildings in a single bound, made him faster than a speeding bullet, and he was more powerful than a locomotive. Lets say that this early version of Superman cannot fly and wants to leap to the top of a tall building (400 ft.) in a single bound. If we model him as a particle and he takes off at an angle of 80 o , what is the minimum initial speed required to get him to the top of the building? How far away from the base of the building should he take off? You may neglect drag on this problem and assume that the only acceleration is that due to gravity.

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Chapter 15: Homework Problems 15-95 13.4 Find the world record for the male and female high jump. If the high jumper is modeled as a particle (you may assume that the jumper is a particle with their mass concentrated at their midsection = 1 2 of their height), determine the take off velocity required to just clear the bar in each case. Assume that the takeoff point is 2.5 ft. in front of the bar. You may neglect drag for this problem and assume that the only acceleration is that due to gravity.
15-96 Chapter 15: Homework Problems 13.5 A ball moves along a curve from A to B whose path is given by y = (12 - x 2 ) where x and y are measured in feet. At

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ch_13_problems_v1 - 15-94 Chapter 15 Homework Problems 13.1...

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