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anonymous
 3 years ago
The position of a mass on a spring (relative to equilibrium) at time t <= 0 is
x(t) = 2 cos((pi)t) where x is in centimeters and t is in seconds. Answer the ques
tions. Include units!
(a) What is the initial position of the mass?
(b) What is the initial velocity of the mass?
(c) What is the initial acceleration of the mass?
(d) Does the mass initially move towards the wall or away from it?
(e) At what point does the mass rst turn around?
anonymous
 3 years ago
The position of a mass on a spring (relative to equilibrium) at time t <= 0 is x(t) = 2 cos((pi)t) where x is in centimeters and t is in seconds. Answer the ques tions. Include units! (a) What is the initial position of the mass? (b) What is the initial velocity of the mass? (c) What is the initial acceleration of the mass? (d) Does the mass initially move towards the wall or away from it? (e) At what point does the mass rst turn around?

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goformit100
 3 years ago
Best ResponseYou've already chosen the best response.0post the question in physics section Not here @GrizzlyChicken

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0its in my calc book, isn't this math?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0a) put t = 0 and solve for x b) find x' and put t = 0 and solve for x' c) find x'' and put y = 0 and solve for x''

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it's both physics and math lol

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0*typo fix* sorry c) find x'' and put t=0

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wait, its x(t)=2cos((pi)(t))

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0still~ same way of solving :P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0damn, theres another error, i'm gonna look it all over again, for some reason copy and pasting changed everything

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0at time t is greater or equal to 0. its right now

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so if i put 0 for t, its 2cos(0)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yup, that's the initial position

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then for b) derivative of 2 is 0 so its all 0

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no no, find the derivative of the function x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so the derivative of 2cos(pi*0)?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0which uses the product rule (0)(cos...)+(2)(sin(0))

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wops sorry i'm here x = 2 cos (pi t) x' = 2 pi sin (pi t)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do you know how to derivative?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yea, did you use the chain rule?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0is that why pi is with 2?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no chain rule. derivative of cos is sin. pi 's brought out when derivative.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1349943924669:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0derivative again for the acceleration equation

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0almost correct, but now pi is brought one more time so it's 2 pi^2 cos (pi t)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x = 2 cos (pi t) x0 = 2 x' = v = 2 pi sin (pi t) v0 = 0 x'' = a = 2 pi^2 cos (pi t) a0 = 2pi^2 and idk how to do d and e

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0does the mass move toward the wall because the acceleration is negative?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh, thats alright. you've helped me enough.Thanks!
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