Catching a Bus Jodi's bus leaves at 5:30 PM an d

Chapter , Problem 11.7.52

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Catching a Bus Jodi's bus leaves at 5:30 PM an d accelerates at the rate of 3 meters per second per secon d. Jodi, who can run 5 meters per secon d, arrives at the bus station 2 secon ds after the bus has left an d runs for the bus. a) Fin d parametric equations that describe the motions of the bus an d Jodi as a fun ction of time. [Hint: The position s at time t of an object having. . 1 acceleratIOn a IS s = 2 ] z at . (b) Determine algebraically whether Jo di will catch the bus. H so, when? - (c) Simulate the motion of the bus an d Jodi by simultan eously graphing the equations foun d in part (a).

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