SOLUTION: The position of a particle as it moves horizontally is described by the given equation {{{S(t)=12sin (pi/90)(t)+15 }}}, where S is displacement in meters, t is time in seconds. Det

Algebra ->  Graphs -> SOLUTION: The position of a particle as it moves horizontally is described by the given equation {{{S(t)=12sin (pi/90)(t)+15 }}}, where S is displacement in meters, t is time in seconds. Det      Log On


   



Question 939123: The position of a particle as it moves horizontally is described by the given equation S%28t%29=12sin+%28pi%2F90%29%28t%29%2B15+, where S is displacement in meters, t is time in seconds. Determine instantaneous rate of change at t= 7 seconds. How do you calculate this in a calculator because the answer is 0.4064, but I get 0? Also, do I use pi as radians or deg? Please step by step solution! Thank you!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
S%28t%29=12sin+%28pi%2F90%29%28t%29%2B15+,
s'(t) = 12cos((pi/90)t) (pi/90)
s'(7) = .4064