The position of a pinewood derby car was observed at various times; the results are summarized in the following table period of observation

5) The position of a pinewood derby car was observed at 
various times; the results are summarized in the following table
period of observation.
t (s) 0 1.0 2.0     3.0   4.0    5.0 
x (m) 0 2.3 9.2 20.7 36.8 57.5
(a) Use the data in Problem 5 to construct a smooth 
graph of position versus time. (b) By constructing tangents to the x(t) curve, find the instantaneous velocity 
of the car at several instants. (c) Plot the instantaneous 
velocity versus time and, from this information, determine the average acceleration of the car. (d) What was 
the initial velocity of the car?. 
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