Question

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
The initial position of the weight is
centimeter(s).
The weight first reaches equilibrium
when t =
=
second(s).
p(t)
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 = 0s.
40-
30+
v
20+
function.
10-
am
t

Answer 1

• The graph is a half sine wave function (unable to see the choices)
• The initial position of the weight is 40 centimeters
• The weight first reaches equilibrium when t = 1 second (assuming each mark on the x-axis is 1 second - I am unable to see the numbers)

Explanation:

I do not know what answer choices there are for the type of graph but such a graph is known in physics lingo as half sine wave. Choose the answer closest to this or provide me the answer choices

The initial position is when t = 0 and from the graph it is 40 cm

The wave is at equilibrium first when p(t) = 0 first and this is when the graph hits the x-axis. We can see this happens at t = 1 second