Using: r(t)=15+e*0.04tsin(pi*t/3)

"Explain why it takes longer to reach maximum heigh of the first ride but will exceed it."

Do i have to use this equation or the previous one of: s(t) = 15+6sin(Pi*t/3). to explain why?

Also, to find the distance off the ground as different time, in s, I replace the t in the bracket?

Many thanks!

use both equations.

e^.04t < 6 for t < 45

http://www.wolframalpha.com/input/?i=plot+15%2Be^%280.04t%29+sin%28pi*t%2F3%29%2C+15%2B6*sin%28pi*t%2F3%29