document.write( "Question 947834: Given s(t) = -16t^2 + 32t + 48, where t = 0 represents the time that object is released (thrown upward).
\n" ); document.write( "1.1 What is s(o) and what does it represent?
\n" ); document.write( "1.2 What is the value of s when the object hits the ground?
\n" ); document.write( "How many seconds (from time of release) will it take for the object to hit the ground?
\n" ); document.write( "1.3 What is the relevant domain for the model? (what values for t make sense?)
\n" ); document.write( "1.4 What does a sketch of y = s(t) look like?
\n" ); document.write( "1.5 At what time does the object attain a maximum height? What is the maximum height?
\n" ); document.write( "Than you in advance. \n" ); document.write( "

Algebra.Com's Answer #578522 by rothauserc(4718) $\"\"$ $\"About$

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1.1) s(0) = 48, s(0) represents the height above the ground when the object is released
\n" ); document.write( "1.2) s is 0
\n" ); document.write( "0 = -16t^2 + 32t + 48
\n" ); document.write( "using quadratic formula to solve equation, we have
\n" ); document.write( "t = -1 or t = 3, we want the positive value t = 3
\n" ); document.write( "which means the object will hit the ground in 3 seconds
\n" ); document.write( "1.3) 0 < or = t < or = 3
\n" ); document.write( "1.4) graph of -16t^2 + 32t + 48
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+100%2C+-16x%5E2%2B32x%2B48%29+\"$
\n" ); document.write( "1.5) set t = the axis of symmetry
\n" ); document.write( "t = -b/2a = -32 / (2*(-16)) = 1, max height at 1 second
\n" ); document.write( "s(1) = -16 +32 +48 = 64, max height is 64\r
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