Compute each part of given problem:

Problem: The position of the front bumper of a test car under microprocessor control is given by x(t)=2.17m+(4.80m/s2)t2?(0.100m/s6)t6.

Part A: Find its position at the first instant when the car has zero velocity.

Part B: Find its acceleration at the first instant when the car has zero velocity.

Part C: Find its position at the second instant when the car has zero velocity.

Part D: Find its acceleration at the second instant when the car has zero velocity.

Show how you get the answer, so that I can better understand how to do it.