Question #c5c0e

2 Answers
Jun 17, 2015

Answer:

Have a look if it makes sense:
#H(t)=10-7cos(pi/10t)#

Explanation:

Your sinusoidal function oscillates between #17# and #3# so its amplitude must be:
#A=(17-3)/2=7ft#
The period of your function is 20 seconds (after which it repeats itself); for this reason the #t# in the argument must be multiplied by #(2pi)/(period)=pi/10 sec^-1#;
Your function seems a cosine but starting from the negative and shifted up of 10 feet.
I would write it as:
height: #H(t)=10-7cos(pi/10t)#
Graphically:
graph{10-7cos((pi/10)*x) [-52, 52.04, -26, 26.03]}

Jun 17, 2015

Answer:

y= 7sin #pi/10(t-5)# +10

Explanation:

The equation can also be written in terms of sine function. From the graph the horizontal shift can be noted to be 5 units, amplitude being 7, vertical shift being 10, the sinusoidal function would be y= 7 sin #pi/10(t-5)# + 10