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vlabodo [156]
4 years ago
14

A model rocket is launched with an initial upward velocity of 67/ms. The rocket's height h (in meters) after t seconds is given

by the following.
h= 67t-5t^2

Find all values of t for which the rocket's height is 30 meters.

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Mathematics
2 answers:
mezya [45]4 years ago
7 0

Step-by-step explanation:

The rocket's height h (in meters) after t seconds is given by:

h=67t-5t^2

67 m/s is the initial upward velocity of the rocket. We need to find the values of t for which the rocket's height is 30 meters. So equation (1) becomes :

67t-5t^2=30

67t-5t^2-30=0

The above equation is a quadratic equation. We need to find the value of t.After solving the quadratic equation, we get the values of t are :

t = 0.464 seconds = 0.46 seconds

or

t = 12.936 seconds = 12.94 seconds

Hence, this is the required solution.

velikii [3]4 years ago
3 0
Here you can use the same concept as the other question you asked: brainly.com/question/4535125


The equation you would get here is: -5t^2+67t-30

To solve, use the quadratic formula and you will get: 0.88 and 12.52

Hope it helps!

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