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A rocket is launched vertically upward from ground level with an initial velocity of 128 meters per second. Equation for meters: h(t)=-5t2+ vt + h0. Round any answers to the nearest tenths.

 

a)Write an equation to model the situation, substituting in the known values.

 

b)How long will it take for the rocket to return to the ground?

 

c)After how many seconds will the rocket be 112 meters above the ground?

 

d)How long will it take the rocket to hit its maximum height?

 

e)What is the maximum height? 

 May 25, 2021
 #1
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a)  v = 128    ho = o  (ground level)

     h(t) =  - 5t2 + 128t    

 

b) h(t) will be zero when rocket hits the ground

      0 = -5t^2 + 128t        solve for t

 

c)  112 = -5t^2 + 128 t      use quadratic formula to solve for t 's     subtract smaller from larger value to find answer

 

d) maximum height will occcur at t = - b/2a    where b = 128 and a = -5    

          e)   use this value of 't' to calculate the maximum height

 May 26, 2021

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