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The path of a toy rocket fired into the air can be modelled by a parabola. The rocket, after being launched from the ground, reaches a height of 18 m after 6 seconds and the duration of the flight is 15 seconds.

Use algebra to show that the maximum height reached by the toy rocket is 18.75 m.

 

 

The answer uses h = kt(t - 15) as the correct equation, could someone explain how to get this?

As it is a parabola shouldn't it be y = ax^2 + bx + c or y = a(x - h)^2 + k instead?

 Nov 19, 2019
 #1
avatar+28240 
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The following should help:

 

 Nov 19, 2019
 #2
avatar+2490 
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wow, welcome back Eight MersennePrime!

 

After 2 years (checked your profile) you are back!

 Nov 20, 2019

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