document.write( "Question 357390: A baseball is hit straight upwards with an initial velocity of 76 feet per second and leaves the bat at an initial height of 2 feet. Write a formula, s(t), that models the height of the baseball after t seconds.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #255228 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You could start with the general formula for the height of an object (s) as a function of time (t), s(t), propelled upwards with an initial velocity ( $\"v%5B0%5D\"$ ) from an initial height ( $\"h%5B0%5D\"$ ):
\n" ); document.write( " $\"s%28t%29+=+%281%2F2%29gt%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D\"$ where g (constant of acceleration due to gravity) = -32 ft/sec^2. So substitute g = 32, $\"v%5B0%5D+=+76\"$ , and $\"h%5B0%5D+=+2\"$
\n" ); document.write( " $\"highlight%28s%28t%29+=+-16t%5E2%2B76t%2B2%29\"$
\n" ); document.write( "Note: The acceleration due to gravity is negative because it is in a downward direction. \n" ); document.write( "

\n" );