anonymous
  • anonymous
will fan & medal!!!!!!!!!!!!!! 2. A model rocket is launched from the ground with an initial velocity of 288 ft/sec. c. How long will it take the rocket to reach its maximum height? Show all work in the space provided.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
misty1212
  • misty1212
HI!!
misty1212
  • misty1212
i am guessing you are supposed to use \[h(t)=-16t^2+228t\]
misty1212
  • misty1212
max is at the vertex first coordinate of the vertex is always \[-\frac{b}{2a}\] which in your case is \[-\frac{288}{2\times (-16)}\]

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anonymous
  • anonymous
d. Assume the model rocket’s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.
misty1212
  • misty1212
set \[-16t^2+288t=0\] and solve for \(t\) takes 3 steps only
misty1212
  • misty1212
or maybe two
misty1212
  • misty1212
factors nicely as \[ -16t (t-18) = 0\]
anonymous
  • anonymous
another way to think about it is to simply take the derivative of the equation 'misty1212' posted which is -32t=-288 and t=288/32. to prove this, the second derivative is -32 which is < 0 therefore it is a maximum.
anonymous
  • anonymous
thnx a lot guys really appreciate the help

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