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The position of the front bumper of a test car under microprocessor control is given by...

The position of the front bumper of a test car under microprocessor control is given by x(t) = 2.21 m + (4.60 m/s2)t2 - (0.100 m/s6)t6.

(a) Find its position at the instants when the car has zero velocity.
first instant
x = _______ m
second instant
x = _______ m

Find its acceleration at the instants when the car has zero velocity.
first instant
_______ m/s2
second instant
_______ m/s2

(b) Draw x - t, vx - t and ax - t graphs for the motion of the bumper between t = 0 and t = 2.00 s.

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