The position of the front bumper of a test car under microprocessor control is given
by x(t) = 2.17m + (4.80m/s2
)t
2 −(0.100m/s6
)t
6
. Disregard instants corresponding to
negative t values.
a) Find the times when the car has zero velocity.
b) Find its position at the first instant when the car has zero velocity.
c) Find the acceleration at the first instant when the car has zero velocity