document.write( "Question 357150: A ball is thrown upward with an inital speed of 24.5 m/s. When is it 29.4 m high? \n" ); document.write( "
Algebra.Com's Answer #255105 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A ball is thrown upward with an initial speed of 24.5 m/s. \n" ); document.write( " When is it 29.4 m high? \n" ); document.write( ": \n" ); document.write( "Using the formula: -4.9t^2 + 24.5t = h \n" ); document.write( "Where \n" ); document.write( "h = height in t seconds \n" ); document.write( "t = time in seconds \n" ); document.write( "4.9 = effect of gravity m/s \n" ); document.write( "24.5 = initial upward speed m/s \n" ); document.write( ": \n" ); document.write( "-4.9t^2 + 24.5t = 29.4 \n" ); document.write( ": \n" ); document.write( "-4.9t^2 + 24.5t - 29.4 = 0 \n" ); document.write( ": \n" ); document.write( "As luck would have it, we can divide both sides by -4.9, and have simple equation \n" ); document.write( "t^2 - 5t + 6 = 0 \n" ); document.write( "Factors easily to: \n" ); document.write( "(t-3)(t-2) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "t = 2 seconds, (at 29.4 m on the way up) \n" ); document.write( "t = 3 seconds, (at 29.4 m on the way down) \n" ); document.write( ": \n" ); document.write( "Graphically, you can see it's approx 30ft at 2 sec and 3 sec: \n" ); document.write( " |