When a mass attached to a spring oscillates without friction, its position (in cm) relative to the equilibrium position(s= 0) is a function of time (ins) given bys(t) =2sin(4t+5).

(a) Make a formula for the velocity of the object in terms of timet.

v(t) =

(b) Make a formula for the acceleration of the object in terms of timet.

a(t) =

(c) Determine the absolute value of the acceleration of the object when it is at its farthest distance from the equilibrium position.

=cm/s²