If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 290, 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 your answer.
h(t) = -9.8t^2 - 10t + 290 = 0,
-9.8t^2 - 10t + 290 = 0,
Use the Quad. Formula to find t and get:
t = -5.97, and 4.95.
Use + value of t:
t = 4.95s.