Problema Solution

IF S=-16T^2+80T REPRESENTS THE HEIGHT OF A ROCKET, IN FEET, T SECONDS AFTER IT WAS FIRED, WHEN WILL THE ROCKET HIT THE GROUND? (HINT: THE ROCKET IS ON THE GROUND WHEN S=0)

Answer provided by our tutors

S=-16T^2+80T


the rocket if on the ground when S=0 and T is not 0 thus we need to solve the quadratic equation:


-16T^2+80T = 0


by solving we find:


T = 5 sec


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the rocket will hit the ground after 5 seconds.