Problema Solution
Benjamin threw a rock straight up from a cliff that was 96 ft above the water. If the height of the rock h, in feet, after t second is given by the equation h=-16t^2+116t+96, how long will it take for the rock to hit the water?
Answer provided by our tutors
h=-16t^2+116t+96
the rock will hit the water for some t, t>0 when h(t) = 0 that is
-16t^2+116t+96 = 0
by solving we find:
t = 8 s
click here to see the step by step solution of the equation:
it takes 8 seconds for the rock to hit the water.