24
6.
If you drop a cart, it falls through the air with an acceleration which is about
g
= 9.8 m s
2
. How
does that compare to the acceleration of my cart as it rolled down a ramp? Give a numerical
answer.
7.
The definition of acceleration (in a straight line) is
a
≡
dv
dt
. So, turning this around, we can find
velocity from
v
=
adt
∫
.
Assume that the acceleration of the cart does not change with time (is this consistent with your
data?) Integrate (symbolically) to find the velocity as a function of time (don't forget the constant
of integration). Does your result agree with what you see in the graph?
8.
The definition of velocity (in a straight line) is
v
≡
dx
dt
. So you can also integrate velocity to find
position as a function of time. Again, does your equation agree with what you see in the graph?
9.
What was the angle of the ramp? (No, I haven't told you how to do this yet .
.. so don't worry if
you don't know how.)
10.
What is the percentage uncertainty in the largest value of position? What is the percentage
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 Fall '09
 LIND
 Velocity, Motion Sensor, Average Acceleration, Vernier Motion Sensor

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