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anonymous
 one year ago
A ball is thrown vertically upward from the top of a 200 foot tower, with an initial velocity of 5 ft/sec. Its position function is s(t) = –16t2 + 5t + 200. What is its velocity in ft/sec when t = 3 seconds?
anonymous
 one year ago
A ball is thrown vertically upward from the top of a 200 foot tower, with an initial velocity of 5 ft/sec. Its position function is s(t) = –16t2 + 5t + 200. What is its velocity in ft/sec when t = 3 seconds?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@radar could you please help me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0take the derivative and plug in 3 for t

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that how you find the distance? @sourwing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0WHT DO YOU MEAN BY DERIVATE?

Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.0Answer to a similar question  http://www.algebralab.org/Word/Word.aspx?file=Algebra_MaxMinProjectiles.xml

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they're similar but they talk about the maximums @Kash_TheSmartGuy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know someone that could help me? @Kash_TheSmartGuy

Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.0Probably @jim_thompson5910 or @campbell_st

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 could you help me?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1this is for calculus class right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1have you learned about derivatives? or differentiation?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No I haven't, but my professor explained that it was related to the slope formula

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's the average velocity, but they want the instantaneous velocity here

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it seems odd how he's asking about a topic you haven't learned about yet

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait I checked my notes isn't f(x) lim x>0 f(ah)f(a) / h

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's the limit definition of the derivative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, but what could I first?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I plug the 3 in the A right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what are f(3) and f(3+h) equal to

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1btw that should be f(a+h) and not f(ah) but I guess it doesn't matter if h goes to 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0F(3) gives me 71 and F(a+h) gives me h^2+6h+9

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1f(3) is correct but what you got for f(3+h) is not correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0isn't 14496h16h^2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1f(t) = 16t^2+5t+200 f(3+h) = 16(3+h)^2+5(3+h)+200 f(3+h) = 16(9+6h + h^2)+5(3+h)+200 f(3+h) = 14496h16h^2+15+5h+200 f(3+h) = 16h^291h+71

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Use f(3) = 71 f(3+h) = 16h^291h+71 to find \[\Large \frac{f(3+h)f(3)}{h}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i see my mistake 91

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yep \[\Large \frac{f(3+h)f(3)}{h}=\frac{16h^291h+7171}{h}\] \[\Large \frac{f(3+h)f(3)}{h}=\frac{16h^291h}{h}\] \[\Large \frac{f(3+h)f(3)}{h}=\frac{h(16h91)}{h}\] \[\Large \frac{f(3+h)f(3)}{h}=\frac{\cancel{h}(16h91)}{\cancel{h}}\] Then plug in h = 0 to get 16h91 to turn into 91

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1at that instant in time, the object is going 91 ft/sec (ie it's falling at 91 ft/sec)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, OMG thank you very muchI will write this down about the instantaneous velocity formula. I really appreciate all your help, god will pay you in a way that you will feel blessed. thank you, I had to submit this today at 12 and I am ready, thank you so much

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome, I'm glad it helped out
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