Free Answer 2. Version B A new green TriMet bus running the #2 bus line in Portland, Oregon pulls out from a bus-stop accelerating at a constant rate from rest for 12 seconds at ₁ in the positive x direction. Once it reaches cruising speed after accelerating from rest, the green bus continues down the straight road at constant velocity for 25 seconds. To stop at the next bus-stop, the driver then slows the bus down at a constant rate of acceleration à2 coming to a stop shortly afterwards. We want to determine the total distance traveled by the green bus and the average speed of the bus if we know a₁ and a2.

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Free Answer 2. Version B
A new green TriMet bus running the #2 bus line in Portland, Oregon pulls out from a bus-stop
accelerating at a constant rate from rest for 12 seconds at ₁ in the positive x direction. Once it
reaches cruising speed after accelerating from rest, the green bus continues down the straight road
at constant velocity for 25 seconds. To stop at the next bus-stop, the driver then slows the bus
down at a constant rate of acceleration a2 coming to a stop shortly afterwards.
We want to determine the total distance traveled by the green bus and the average speed of the
bus if we know a₁ and a2.
(A) Sketch a graph of velocity versus time for this short trip. Label the time axis to indicate which
portions of the curve(s) correspond to the above intervals. Identify and write knowns and
unknowns
(B) Without using numerical values, determine which physics equations of motion will help solve
this problem. Simplify as useful for this particular case.
(C) If a₁ = 1.5 m/s² and a2 = -2.5 m/s² determine the total distance traveled during all intervals.
Then determine the average velocity of the bus during the entire trip.
Transcribed Image Text:Free Answer 2. Version B A new green TriMet bus running the #2 bus line in Portland, Oregon pulls out from a bus-stop accelerating at a constant rate from rest for 12 seconds at ₁ in the positive x direction. Once it reaches cruising speed after accelerating from rest, the green bus continues down the straight road at constant velocity for 25 seconds. To stop at the next bus-stop, the driver then slows the bus down at a constant rate of acceleration a2 coming to a stop shortly afterwards. We want to determine the total distance traveled by the green bus and the average speed of the bus if we know a₁ and a2. (A) Sketch a graph of velocity versus time for this short trip. Label the time axis to indicate which portions of the curve(s) correspond to the above intervals. Identify and write knowns and unknowns (B) Without using numerical values, determine which physics equations of motion will help solve this problem. Simplify as useful for this particular case. (C) If a₁ = 1.5 m/s² and a2 = -2.5 m/s² determine the total distance traveled during all intervals. Then determine the average velocity of the bus during the entire trip.
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