document.write( "Question 1006685: A baseball is hit from a height of 0.8 m. After \"t\" seconds, its height \"h\", in metres, is given by the equation h=−5t2+20t+0.8. How long does the ball stay at least 15 m above the ground? (5 marks) \n" ); document.write( "
Algebra.Com's Answer #622810 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+h%28t%29+=+-5t%5E2+%2B+20t+%2B+.8+\"
\n" ); document.write( "I want to solve for \"+h%28t%29+%3E=+15+\"
\n" ); document.write( "\"+15+=+-5t%5E2+%2B+20t+%2B+.8+\"
\n" ); document.write( "\"+-5t%5E2+%2B+20t+-+14.2+=+0+\"
\n" ); document.write( "use quadratic formula
\n" ); document.write( "\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-5+\"
\n" ); document.write( "\"+b+=+20+\"
\n" ); document.write( "\"+c+=+-14.2+\"
\n" ); document.write( "\"+t+=+%28+-20+%2B-+sqrt%28+20%5E2+-+4%2A%28-5%29%2A%28-14.2%29+%29%29+%2F+%282%2A%28-5%29%29+\"
\n" ); document.write( "\"+t+=+%28+-20+%2B-+sqrt%28+400+-+284+%29%29+%2F+%28-10+%29+\"
\n" ); document.write( "\"+t+=+%28+-20+%2B-+sqrt%28+116+%29%29+%2F+%28-10+%29+\"
\n" ); document.write( "\"+t+=+%28+-20+%2B+10.7703+%29+%2F+%28-10%29+\"
\n" ); document.write( "\"+t+=+9.2297+%2F+10+\"
\n" ); document.write( "\"+t+=+.923+\" sec
\n" ); document.write( "----------------
\n" ); document.write( "and, also
\n" ); document.write( "\"+t+=+%28+-20+-+10.7703+%29+%2F+%28-10%29+\"
\n" ); document.write( "\"+t+=+30.7703%2F10+\"
\n" ); document.write( "\"+t+=+3.077+\" sec
\n" ); document.write( "-----------------
\n" ); document.write( "The difference in these times is the time period
\n" ); document.write( "when \"+h%28t%29+%3E=+15+\" m
\n" ); document.write( "\"+3.077+-+.923+=+2.154+\"
\n" ); document.write( "2.154 sec answer
\n" ); document.write( "----------------
\n" ); document.write( "Here's a plot of the equation:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-1%2C+5%2C+-3%2C+25%2C+15%2C+-5x%5E2+%2B+20x+%2B+.8+%29+\"
\n" ); document.write( "
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