What is the first time the pendulum reaches 3.5 cm from the place it was released?
p(t)= -5cos(2pit)+5
how many seconds ?

Approximately after 2 seconds

Step-by-step explanation:

The height of the pendulum is modeled by the function:

When the pendulum reaches 3.5cm, then pP(t)=3.5 cm.

We substitute and solve for t.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x