An object is thrown upward from the top of a 112 foot building with an initial velocity of 96 feet per second. The height h of the object after t seconds is giv

Question

An object is thrown upward from the top of a 112 foot building with an initial velocity of 96 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+96t+112. when will the object hit the ground? the object will hit the ground when the time is____seconds

Answer 1

Set h(t) = 0 and solve the resulting quadratic equation for t.  You will get a negative and a positive solution.  Discard the negative solution, since time stars at t = 0.  The positive solution is the answer.