A weight is attached to a spring, which moves up and down as a function of time. p(t) gives the position of the weight at time (t). Position is in centimeters, and time is in seconds.
Complete the following sentences based on the graph of the function.
• The graph is a
function.
. The initial position of the weight is centimeter(s).
. The weight first reaches equilibrium when t = second(s).
Note: We say that the weight is at equilibrium whenever p(t) = 0 cm, and we say that the initial position of the
block is its position when t = 0 s.
p(t)