document.write( "Question 825117: [ A rock is thrown upward from the edge of a cliff. The rock follows the equation below. h(t)= -16t^2+64t+63 ] \n" ); document.write( "
Algebra.Com's Answer #497039 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "h(t) = -16t^2 + 64t + 63 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-16, b=64, and c=63 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-16 64 63 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "this quadratic has two real roots (the t-intercepts), which are: \n" ); document.write( "t = -0.817356917 \n" ); document.write( "t = 4.81735692 \n" ); document.write( "--- \n" ); document.write( "the negative root does not fit the problem statement, so use the positive root \n" ); document.write( "--- \n" ); document.write( "judging from the value of the gravitational acceleration constant: \n" ); document.write( "the time units are seconds, and the height units are feet \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "at t = 4.81735692 seconds after being thrown, the rock hits the ground \n" ); document.write( "--- \n" ); document.write( "the quadratic vertex is a maximum at: ( t= 2, h= 127 ) \n" ); document.write( "--- \n" ); document.write( "at t = 2 seconds the rock reaches its maximum height of 127 feet \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |