A small frictionless cart is attached to a wall by a spring. It is pulled 6

6 cm from its rest position, released at time tequals

=0, and allowed to roll back and forth for 5 seconds. Its position at time t is s equals 6 cosine left parenthesis pi t right parenthesis

s=6cos(t). a. What is the cart's maximum speed? When is the cart moving that fast? Where is it then? What is the magnitude of the acceleration then? b. Where is the cart when the magnitude of the acceleration is greatest? What is the cart's speed then?