Bill's train leaves at 8:06 AM and accelerates at a rate of 4 meters per second per second. Bill, who can run E meters per second, arrives at the train station 6 seconds after the train has left. (a) Find parametric equations that model the motions of the train and Bill as a function of time. (Hint: The position x at time t of an object having acceleration a is x = at) (b) Determine algebraically whether Bill will catch the train. If so, when? (c) Simulate the motion of both by simultaneously graphing the equations found in part (a). .... (a) Let y, = 2 be the path of Bill and y, 4 be the path of the train. What are the parametric equations describing Bill's motion? O x, = 2, y, -2 O x1 = 6(t + 6), y, -2 X, = 6t, y, 2 X1 " 6(t - 6), y, -2 What are the parametric equations describing the train's motion? X2 = 21, y 4 X, = 21, y, = 4 X2 = 4t, y2 = 4 X, = 31, y, -4

Bill's train leaves at 8:06 AM and accelerates at a rate of 4 meters per second per second. Bill, who can run E meters per second, arrives at the train station 6 seconds after the train has left. (a) Find parametric equations that model the motions of the train and Bill as a function of time. (Hint: The position x at time t of an object having acceleration a is x = at) (b) Determine algebraically whether Bill will catch the train. If so, when? (c) Simulate the motion of both by simultaneously graphing the equations found in part (a). .... (a) Let y, = 2 be the path of Bill and y, 4 be the path of the train. What are the parametric equations describing Bill's motion? O x, = 2, y, -2 O x1 = 6(t + 6), y, -2 X, = 6t, y, 2 X1 " 6(t - 6), y, -2 What are the parametric equations describing the train's motion? X2 = 21, y 4 X, = 21, y, = 4 X2 = 4t, y2 = 4 X, = 31, y, -4

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.FOM: Focus On Modeling: The Path Of A Projectile

Problem 6P: Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as...

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