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An object is thrown into the air. Its height in feet above the ground t seconds later is given by h(t)=-16t^2+30t+25 a. Find the time when the object reaches its maximum hight b. How hih does it get

 Oct 6, 2014

Best Answer 

 #1
avatar+33661 
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h = -16t2 + 30t + 25  height

v = -32t + 30             velocity

 

a. Maximum height occurs when v = 0; i.e. when 0 = -32t + 30; t = 30/32; t = 15/16 secs.

 

b. Height at this time: h = -16*(15/16)2 + 30*15/16 + 25 feet; h = 625/16 feet; h ≈ 39 feet

 Oct 6, 2014
 #1
avatar+33661 
+5
Best Answer

h = -16t2 + 30t + 25  height

v = -32t + 30             velocity

 

a. Maximum height occurs when v = 0; i.e. when 0 = -32t + 30; t = 30/32; t = 15/16 secs.

 

b. Height at this time: h = -16*(15/16)2 + 30*15/16 + 25 feet; h = 625/16 feet; h ≈ 39 feet

Alan Oct 6, 2014

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