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Unformatted text preview: 1594Chapter 15: Homework Problems13.1 Rectilinear Motion(a) The displacement of a particle is given bys=At3Bt2Ct50m. IfA= 1m/s3,B= 2m/s2, andC= 3m/s, plot the displacement, velocity, and acceleration for thefirst 6 seconds.(b) The velocity of a particle is given byvx=xands= 1matt= 0, determine theposition as a function of time.(c) The acceleration of a particle is given byax= 2vx, andx= 0 andvx= 1m/satt= 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 trafficahead. If the rider applies the brakes lightly and decelerates at a constant rate of5m/s2, 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 rateof (5m/s3)t?13.3 The first appearance of Superman was in Action Comics #1 in 1938. Created by writerJerry Siegel and artist Joe Shuster, his powers granted him the ability to leap tallbuildings in a single bound, made him faster than a speeding bullet, and he was morepowerful than a locomotive. Lets say that this early version of Superman cannot flyand wants to leap to the top of a tall building (400 ft.) in a single bound. If we modelhim as a particle and he takes off at an angle of 80o, what is the minimum initial speedrequired to get him to the top of the building? How far away from the base of thebuilding should he take off? You may neglect drag on this problem and assume thatthe only acceleration is that due to gravity.Chapter 15: Homework Problems159513.4 Find the world record for the male and female high jump. If the high jumper is modeledas a particle (you may assume that the jumper is a particle with their mass concentratedat their midsection =12of their height), determine the take off velocity required to justclear 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 thatdue to gravity.1596Chapter 15: Homework Problems13.5 A ball moves along a curve from A to B whose path is given byy= (12x2) wherexandyare measured in feet. Atx= 1.ft., the ball is moving in the xdirection ata constant rate of 2 ft./s. Draw the basis vectors for path coordinates on the figurea constant rate of 2 ft....
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 Fall '08
 MURPHY

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