A silver dollar is dropped from the top of a building that is 1398 feet tall. Use the position function below for free-falling objects. (Round your answers to 3 decimal places.)

s(t) = -16t2 + v0t + s0

(a) Determine the position and velocity functions for the coin.
s(t) =
v(t) =

Can someone please give me a head start
i don't know how to start am confused.

s(t)=-16t^2+1398

v(t)=-32t

Of course! I can help you get started.

To determine the position and velocity functions for the silver dollar, we need to understand the meaning of each term in the position function and extract the necessary information from the problem.

In the given position function s(t) = -16t^2 + v0t + s0:
- "s(t)" represents the position of the object at time t.
- "-16t^2" is the term that accounts for the effect of gravity. The coefficient -16 is half the acceleration due to gravity, and t^2 represents the time squared.
- "v0" is the initial velocity of the object. It tells us the rate at which the object is moving at time t=0.
- "s0" represents the initial position (or height) of the object.

Now, let's apply this information to the given problem. Here are the steps you should follow:

Step 1: Identify the given information:
- The building height is 1398 feet, which is the initial position s0.
- The silver dollar is dropped, so its initial velocity v0 is 0 (since it starts from rest).

Step 2: Substitute the given information into the position function:
s(t) = -16t^2 + v0t + s0
= -16t^2 + 0t + 1398
= -16t^2 + 1398

So, the position function for the silver dollar is s(t) = -16t^2 + 1398.

Step 3: To find the velocity function, v(t), we need to differentiate the position function with respect to time (t):
v(t) = ds/dt

Differentiating the position function -16t^2 + 1398 gives:
v(t) = -32t

Therefore, the velocity function for the silver dollar is v(t) = -32t.

Now, you have the position function (s(t) = -16t^2 + 1398) and the velocity function (v(t) = -32t) for the silver dollar.

Remember, these functions describe the height and velocity of the silver dollar at any given time t during its fall.