document.write( "Question 1052691: height of an object thrown from 60 feet up, with an initial speed of 48 feet/second is given by h(t)=-16t^2+48t+60. When will the object reach its maximum height? What will the maximum height be? \n" ); document.write( "

Algebra.Com's Answer #668031 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The t-value of the vertex ( maximum height ) is
\n" ); document.write( "goiven by the formula:
\n" ); document.write( " $\"+t%5Bmax%5D+=+-b%2F%282a%29+\"$ , where:
\n" ); document.write( " $\"+a+=+-16+\"$
\n" ); document.write( " $\"+b+=+48+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+-48%2F%282%2A%28-16%29%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+24%2F16+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+3%2F2+\"$
\n" ); document.write( "Plug this result back into equation
\n" ); document.write( " $\"+h%283%2F2%29+=+-16%2A%283%2F2%29%5E2+%2B+48%2A%283%2F2%29+%2B+60+\"$
\n" ); document.write( " $\"+h%283%2F2%29+=+-16%2A%289%2F4%29+%2B+72+%2B+60+\"$
\n" ); document.write( " $\"+h%283%2F2%29+=+-36+%2B+132+\"$
\n" ); document.write( " $\"+h%283%2F2%29+=+96+\"$
\n" ); document.write( "The maximum height is 96 ft
\n" ); document.write( "----------------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-1%2C+5%2C+-15%2C+125%2C+-16x%5E2+%2B+48x+%2B+60+%29+\"$
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