document.write( "Question 364311: If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance above the ground after t seconds is given by the function below. If s(2) = 136 and s(5) = 55, what are v0 and s0? (Round your answer to the nearest whole number.) \n" ); document.write( "

Algebra.Com's Answer #259741 by Alan3354(69443) $\"\"$ $\"About$

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\n" ); document.write( "If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance above the ground after t seconds is given by the function below. If s(2) = 136 and s(5) = 55, what are v0 and s0? (Round your answer to the nearest whole number.)
\n" ); document.write( "-------------
\n" ); document.write( "I'll use:
\n" ); document.write( "s(t) = -16t^2 + vt + s0
\n" ); document.write( "s(2) = -64 + 2v + s0 = 136
\n" ); document.write( "s(5) = -400 + 5v + s0 = 55
\n" ); document.write( "-------------
\n" ); document.write( "2v + s0 = 200
\n" ); document.write( "5v + s0 = 455
\n" ); document.write( "------------- Subtract
\n" ); document.write( "-3v = -255
\n" ); document.write( "v = 85 ft/sec
\n" ); document.write( "----------
\n" ); document.write( "s0 = 30 feet
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