Problema Solution

if a stone is tossed from the top of a 210 meter building the height of the stone as a function of time is given by h (t)=-9.8t^2-10t+210 were 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 your answer

Answer provided by our tutors

h (t)=-9.8t^2-10t+210

When the stone hit the ground, h(t)=0

so

-9.8t^2-10t+210 =0

We solve it

t = 4.15

So after 4.15 seconds  the stone will hit the ground