a)sketch a graph of the position vs time for the elevator trip

A person rides an elevator and measures their velocity as the elevator takes them from one floor to another. The elevator accelerates for 3 seconds, maintains its velocity for 15 seconds, and then decelerates for 5 seconds until it comes to a stop. A plot of the velocity vs. time is shown below. (assume each tick mark on the y-axis is 1 m/s) Velocity vs. Time Velocity v (m/s) 10 15 20 25 Time t (s)