document.write( "Question 624215: The height h (in meters) of a cannonball t seconds after it is fired from a cannon is described by the equation h(t)=-49t^2+60t.\r
\n" ); document.write( "\n" ); document.write( "a. What is the height of the cannonball after 4 seconds?
\n" ); document.write( "b. How long will the cannonball be in the air?
\n" ); document.write( "c. How long does it take the cannonball to reach its maximum height?
\n" ); document.write( "d. What is the maximum height of the cannonball?
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Algebra.Com's Answer #392567 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "The height h (in meters) of a cannonball t seconds after it is fired from a cannon is described by the equation
\n" ); document.write( " h(t)=-49t^2+60t.
\n" ); document.write( " a. What is the height of the cannonball after 4 seconds? h(4) = -544m
\n" ); document.write( " b. How long will the cannonball be in the air? 1.22 sec
\n" ); document.write( " 0 = -49t^2 + 60t = t(-49t + 60)
\n" ); document.write( " 49t= 60
\n" ); document.write( " t = 60/49 = 1.22 sec\r
\n" ); document.write( "\n" ); document.write( "Completing Square: y = ax^2 + bx + c ⇒ y = a(x -(-b/a2)^2 - a(-b/2a)^2 + c
\n" ); document.write( " \"h%28t%29=-49%28t-60%2F98%29%5E2+%2B+49%2860%2F98%29%5E2\" , V(60/98, 18.3673)
\n" ); document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0), \"y=a%28x-h%29%5E2+%2Bk\"
\n" ); document.write( " where(h,k) is the vertex and the Line of symmetry is x = h
\n" ); document.write( " c. How long does it take the cannonball to reach its maximum height? 60/98 sec
\n" ); document.write( " d. What is the maximum height of the cannonball? 18.3673m
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