SOLUTION:
Step 1:
In this question, we are given the following:
A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
Part A) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.
Step 2:
The details of the solution are as follows:
The graph of:
is as follows:
For this case we have the following equation:
Where, we have the following variables:
x: time in seconds
y: speed in feet per seconds
For the initial velocity, we evaluate x = 0 in the given equation:
Therefore, the initial speed is 12 feet per second.
Answer:
The particle's initially velocity is 12.