Step-by-step explanation:
Let the function be a cosine function
H(t)= A cos(B(t+C)) + D
Average height = -20 cm
The object's maximum and minimum heights are each 5 cm from its average height. Therefore:
Maximum Height,
Minimum Height ,
The amplitude, A is denoted by :
The vertical shift, D is denoted by :
The period T is given by,
T=2 seconds
The phase shift , C is given by:
C=-0.2 (since it first achieves its average height to the right at t=0.2 sec)
Therefore, our function is defined as: