Bill's train leaves at 8:06 AM and accelerates at a rate of 1 meter per second per second. Bill, who can run 3 meters per second, arrives at the train station 3 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).

Bill's train leaves at 8:06 AM and accelerates at a rate of 1 meter per second per second. Bill, who can run 3 meters per second, arrives at the train station 3 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).

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...

See similar textbooks