A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position
and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is
s = 1 - 10 cos piΔt. What is the cart's maximum speed? When is the cart moving that fast? What is the
magnitude of of the acceleration then?

Question

A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position
and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is
s = 1 - 10 cos piΔt. What is the cart's maximum speed? When is the cart moving that fast? What is the
magnitude of of the acceleration then?

anonymous · Answer

A) 10􀎔pi= 􀁙 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec^2
B) 10􀎔pi 􀁙 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec^2
C) pi=􀎔 􀁙 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec^2
D) 10 pi􀎔 􀁙 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec^2