The table below gives the height h ft in feet of a weight o

The table below gives the height h = f(t) in feet of a weight on a spring where t is time in seconds. What is the period of f(t)? (include units) What is the the midline of f(t)? (include units) What is the the amplitude of f(t)? (include units)

Solution

a. first maximum that is h =6.7 occurs at t=6 and first minimum that is h =1.7 occurs at t=16

Therefore B =I 16 - 6 I= 10 *2=20

ANd period=2pi/B=2pi/20=pi/10

b. Maximum value of h is 6.7 and minimum value is 1.7

Therefore midline is (6.7+1.7)/2=4.2

c. Amplitude is the maximum height that is 6.7 and minimum is 1.7

Therefore amplitude is (6.7-1.7)/2=2.5