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If a ball is thrown directly upward with a velocity of 26 ft/s, its height (in feet) after t seconds is given by y = 26t − 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)

 Jun 24, 2014

Best Answer 

 #1
avatar+129852 
+10

y = 26t − 16t2

Rewrite as

y = -16t^2 + 26t

This is similar to the one I just did sally1, so we have

-b/2a =  -26/[2(-16)]  =  26/32   =    13/16    So to find max height, substitute this back into the original equation for "x"     This gives....

y = -16(13/16)^2 + 26(13/6) = 169/16 = 10.5625 ft.

 

 Jun 25, 2014
 #1
avatar+129852 
+10
Best Answer

y = 26t − 16t2

Rewrite as

y = -16t^2 + 26t

This is similar to the one I just did sally1, so we have

-b/2a =  -26/[2(-16)]  =  26/32   =    13/16    So to find max height, substitute this back into the original equation for "x"     This gives....

y = -16(13/16)^2 + 26(13/6) = 169/16 = 10.5625 ft.

 

CPhill Jun 25, 2014

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