Problema Solution

Supposw that abottle rocket is launched upward with an initial velocity of 96 ft/sec and from a height of 880 ft. its height h, in feet, after t seconds is given by h(t)=-16t+96t+880 after how long will the rocket reach the ground?

Answer provided by our tutors

the rocket will reach the ground after some time t>0 when h(t)=0 that is


-16t^2+96t+880 = 0


by solving we find


t = 11 sec


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the rocket will reach the ground after 11 seconds.