document.write( "Question 1101831: a swimmer jumps off a high dive from a height of 30 ft. there is an initial upward velocity of 14 ft /s. the equation h=-4t + c can be used to model the path of the swimmer, where h is the height in feet after t seconds; v is the initial velocity, and c is the initial height. find out how many seconds it will take the swimmer to enter the water \n" ); document.write( "
Algebra.Com's Answer #716447 by jorel1380(3719) You can put this solution on YOUR website! Actully, the formula for gravity is -16 ft/sē, so the swimmers height can be modeled by h(t)=-16tē+14t+30. When the swimmer hits the water, h(t)=0. So: \n" ); document.write( "0=-16tē+14t+30 \n" ); document.write( "Then: \n" ); document.write( "16tē-14t-30=0 \n" ); document.write( "8tē-7t-15=0 \n" ); document.write( "(8t-15)(t+1)=0 \n" ); document.write( "t=15/8 or -1 \n" ); document.write( "Since time can't be negative, the swimmer enters the water after 15/8, or 1.875 seconds. \n" ); document.write( "☺☺☺☺ \n" ); document.write( " \n" ); document.write( " |