Bills train leaves at 8:06 AM and accelerates at the rate of 2 meters per second per

Question:

Bill’s train leaves at 8:06 AM and accelerates at the rate of 2 meters per second per second. Bill, who can run 5 meters per second, arrives at the train station 5 seconds after the train has left and runs for the train. 

(a) Find parametric equations that model the motions of the train and Bill as a function of time. The position s at time t of an object having acceleration a is s = ½ at2.

(b) Determine algebraically whether Bill will catch the train. If so, when? 

(c) Simulate the motion of the train and Bill by simultaneously graphing the equations found in part (a).


Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

Question Posted: