The position of an object as a function of time is given as x = At3 + Bt2 + Ct + D. The constants
are A = 2.1 m/s3
, B = 1.0 m/s2
, C = –4.1 m/s, and D = 3 m.
a) What is the velocity of the object at t = 10.0 s?
b) At what time(s) is the object at rest?
c) What is the acceleration of the object at t = 0.50 s?
d) Plot the acceleration as a function of time for the time interval from t = –10.0 s to t =
10.0 s.