Question

A bus on a straight road starts from rest at a bus stop and accelerates at 2 m/s2 until it
reaches a speed of 40 m/s. Then the bus travels for 30 s at a constant speed in the same
direction until the driver sees the next bus stop in the distance. The driver applies the
brakes, stopping the bus in a uniform manner in 10 s.

a. Plot a rough v vs t graph for the entire trip. (Hint: There are 3 segments with
different accelerations.)
b. What is the acceleration of the bus at t = 10 s? t = 40 s? t = 55 s?
c. How long does the bus take to travel from the first bus stop to the second bus stop?
d. What is the average velocity of the bus during the trip?

Answer 1

Answer:

The acceleration of a bus is given by  where  (a) If the bus's velocity at time  is  what is its velocity at time  (b) If the bus's position at time  is  what is its position at time  (c) Sketch  and  graphs for the motion.