document.write( "Question 890055: i don't really know which category this goes under but here goes nothing...\r
\n" );
document.write( "\n" );
document.write( "an object that is projected straight downward with initial velocity v feet per second travels a distance s=vt+16t^2, where t=time in seconds. If Ramon is standing on a balcony 84 ft above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground
\n" );
document.write( "a. 2 seconds
\n" );
document.write( "b 3 seconds
\n" );
document.write( "c 6 seconds
\n" );
document.write( "d 8 seconds \n" );
document.write( "
Algebra.Com's Answer #538653 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! an object that is projected straight downward with initial velocity v feet per second travels a distance s=vt+16t^2, where t=time in seconds. \n" ); document.write( " If Ramon is standing on a balcony 84 ft above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground \n" ); document.write( ": \n" ); document.write( "s = 84 ft, v = 10 ft/sec \n" ); document.write( "Rewrite the equation to \n" ); document.write( "16t^2 + 10t = 84 \n" ); document.write( "16t^2 + 10t - 84 = 0 \n" ); document.write( "simplify divide by 2 \n" ); document.write( "8t^2 + 5t = 42 \n" ); document.write( "You can use the quadratic formula to find t, but this will factor to \n" ); document.write( "(8t+21)(t-2) = 0 \n" ); document.write( "the positive solution is all we want here \n" ); document.write( "t = 2 seconds \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the original equation \n" ); document.write( "s = vt + 16t^2 \n" ); document.write( "v=10, t=2 \n" ); document.write( "s = 10(2) + 16(2^2) \n" ); document.write( "s = 20 + 64 \n" ); document.write( "s = 84 ft \n" ); document.write( " |