Can someone explain the solution?
http://edssmcr3ui.pbworks.com/f/Trig+Functions+-+Exercise+Handout+3.pdf
It's the first question, 1f specifically. I know there are solutions but I don't understand the answer they gave and I would appreciate if someone could explain it.
Thanks in advance

Question

Can someone explain the solution? 
http://edssmcr3ui.pbworks.com/f/Trig+Functions+-+Exercise+Handout+3.pdf
It's the first question, 1f specifically. I know there are solutions but I don't understand the answer they gave and I would appreciate if someone could explain it. 
Thanks in advance

mathmale · Answer

Please, would you indicate which of these problems you have at least begun, what you know and what you believe you need to know?  Prefer not to start from scratch if you've already done some of this work yourself.  Thx.

rida34 · Answer

@mathmale I've done all parts except for 1f, I'm only asking about question one

rida34 · Answer

I don't get 1f

rida34 · Answer

@mathmale

mathmale · Answer

The graph "Olivia's motion" shows that when time is zero (that is, at the beginning), her distance from the motion detector is 8.  Do you see this?  Look for the point (0,8).

rida34 · Answer

Right I see it

mathmale · Answer

Seems to me that the closest the girl gets to the motion detector is 2 feet.  The furthest is 14 feet.  With this in mind, think about how to answer the rest of question 1f.  The problem does not say so, but I'm assuming that both Olivia's motion and the operation of the detector begin at t=0.