document.write( "Question 821684: A rocket is fired upward with an initial velocity of 168 ft/s. Using the formula h = rt-16t^2 determine when the rocket is 360 ft high and when does it crash. \n" ); document.write( "
Algebra.Com's Answer #494325 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "h(t) = -16t^2 + 168t \n" ); document.write( "--- \n" ); document.write( "at 360 feet: \n" ); document.write( "--- \n" ); document.write( "h(t) = 360 = -16t^2 + 168t \n" ); document.write( "-16t^2 + 168t - 360 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-16, b=168, and c=360 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-16 168 -360 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are: \n" ); document.write( "t= 3 sec \n" ); document.write( "t= 7.5 sec \n" ); document.write( "--- \n" ); document.write( "answer 1: \n" ); document.write( "the rocket is at 360 ft of altitude at 3 seconds after launch, and then again at 7.5 seconds after launch \n" ); document.write( "--- \n" ); document.write( "--- \n" ); document.write( "--- \n" ); document.write( "at 0 feet: \n" ); document.write( "--- \n" ); document.write( "h(t) = 0 = -16t^2 + 168t \n" ); document.write( "-16t^2 + 168t = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-16, b=168, and c=0 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-16 168 0 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are: \n" ); document.write( "t= 0 sec \n" ); document.write( "t= 10.5 sec \n" ); document.write( "--- \n" ); document.write( "answer 2: \n" ); document.write( "the rocket crashes to earth at 10.5 seconds after launch \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( " |