Asked by Amy
A miniature rocket is launched so that its height in meters after t seconds is given by the equation h=-4.9t^2+29.4t+7.
(a)draw a graph of the equation
(b)how high is the rocket after 5 seconds?
(c)what is the maximum height the rocket will attain?
(d)how long after the launch will the rocket hit the ground?
(a)draw a graph of the equation
(b)how high is the rocket after 5 seconds?
(c)what is the maximum height the rocket will attain?
(d)how long after the launch will the rocket hit the ground?
Answers
Answered by
Reiny
a)
http://www.wolframalpha.com/input/?i=h%3D-4.9t%5E2%2B29.4t%2B7
consider only the first quadrant
b) just plug t = 5 and evaluate
c) find the vertex of the parabola , and use the properties of the vertex.
d) set
4.9t^2 - 29.4t - 7 = 0
and solve using the quadratic equation formula
use only the positive result
http://www.wolframalpha.com/input/?i=h%3D-4.9t%5E2%2B29.4t%2B7
consider only the first quadrant
b) just plug t = 5 and evaluate
c) find the vertex of the parabola , and use the properties of the vertex.
d) set
4.9t^2 - 29.4t - 7 = 0
and solve using the quadratic equation formula
use only the positive result
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