A weight is attached to a spring, which moves up and down as a function of time. p
(
t
)
p(t)p, left parenthesis, t, right parenthesis gives the position of the weight at time
(
t
)
(t)left parenthesis, t, right parenthesis. 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
=
 
t=t, equals

second(s).
Note: We say that the weight is at equilibrium whenever
p
(
t
)
=
0
 
cm
p(t)=0cmp, left parenthesis, t, right parenthesis, equals, 0, start text, c, m, end text, and we say that the initial position of the block is its position when
t
=
0
 
s
t=0st, equals, 0, start text, s, end text.