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A ball is thrown in the air so that t seconds after it is thrown, its height h (in metres) above the ground is given by h(t) = 25t-5t2

Another ball is fired from a machine, and its height above the ground is given by g(t) = 5+3t, where g is height (in metres) and t is time (in seconds) after it is fired.

(Ignore effects of gravity)

Using the same axes and scales, graph the two functions.

Guest Jan 29, 2018
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3+0 Answers

 #1
avatar+85609 
+1

See the graphs, here :

 

https://www.desmos.com/calculator/kwkh3bcwpk

 

 

 

cool cool cool

CPhill  Jan 29, 2018
 #2
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How did you get the domain?

Guest Jan 29, 2018
 #3
avatar+85609 
+1

The domain of the first function is   [ 0, 5].....i.e., from the time [ in seconds ] the ball is thrown until it hits the ground

 

For the second function.....the ball constantly rises......so the domain is  [ 0, infinity )

This is, of course, unrealistic.....however....no bounds are specified

 

 

cool cool cool

CPhill  Jan 29, 2018

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