A model rocket is launched with an initial upward velocity of 62/ms. The rocket's height h (in meters) after t seconds is given by the following. h=62t-5t^2
Find all values of t for which the rocket's height is 29 meters.
Round your answer(s) to the nearest hundredth.

9514 1404 393

  t = 0.49, 11.91

Step-by-step explanation:

A graphing calculator can show you the answers quickly. The times are 0.49 seconds and 11.91 seconds.

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We can write the equation as ...

  h = 29

  62t -5t^2 = 29 . . . . . substitute for h

  -5(t^2 -12.4t) = 29

  -5(t^2 -12.4t +6.2^2) = 29 -5(6.2^2) . . . . complete the square

  -5(t -6.2)^2 = -163.2 . . . . . simplify

  t -6.2 = ±√(-163.2/-5) = ±√32.64 . . . . divide by -5, take the square root

  t = 6.2 ±5.71

  t = 0.49, 11.91

The rocket has a height of 29 meters at t=0.49 seconds and t=11.91 seconds.

the answer is simply just 6n add the two together as they have an n

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this