A object is flown into the air. It's altitude in feet after seconds represented by the equation H = 16t^2 + 128t. What will be highest point it reaches

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Answer 1

H(t)=16t²+128t=16(t+4)²-256

H'(t)=32t+128>0 for t>0.  This means the object all the time is going higher and higher. Practically, there is no (finite) t, at which the object can reach its maximum altitude.