While
cruising along a dark stretch of highway with the cruise control set at
25 m/s (»55
mph), you see, at the fringes of your headlights, that a bridge has been washed
out. You apply the brakes and come
to a stop in 4.0s. Assume the clock starts the instant you hit the brakes.
1.
Construct a motion map that represents the motion described above,
including position, velocity, and acceleration. Clearly demonstrate how you can
determine the direction (sign) of the acceleration from the motion map
representation.
2.
Construct qualitative graphical representations of the situation described
above to illustrate:
a.
x vs. t
b.
v vs. t
c.
a vs. t
Be sure to
label the axes of the graphs.
3.
Construct quantitatively accurate graphical representations of the situation
described above for:
a) v
vs. t
b) a
vs. t
4.
On the v vs t graph above,
graphically represent the car’s displacement during braking.
5.
Utilizing the graphical representation, determine how far the car traveled during
braking. (Please explain your
problem solving method.)
6.
Did the car, according to your graph, have a constant acceleration after
the brakes were applied? Please explain how you know.
7.
From the v vs t graph, determine
the acceleration of the car once the brakes were applied.
(Please show your work)
8.
Using a mathematical representation determine how far the car traveled
during braking. (Show your work.)