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If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 10t − 1.86t^2

 

Find the velocity of the rock when t=a.

 Feb 12, 2019
 #1
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The velocity function will be the derivative of the position function given...so

 

H '  =  10 -  2(1.86)t 

 

When t = a, we have 

 

H ' (a)   =   10 - 2(1.86)(a)  =   [ 10 - 3.72a ]  m / s

 

 

cool cool cool

 Feb 12, 2019

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