Problema Solution

If a stone is tossed from the top of a 250 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 250, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in the answer.

Answer provided by our tutors

h(t) = -9.8 t^2 + 10t + 250

Stone will hit the ground when h(t) = 0

 

-9.8 t^2 + 10t + 250 = 0

 

So t = 5.5867 s