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 your answer

2 answers

Dade County is not the subject.

Please show your own work if you need assistance.

All you have to do is solve

-9.8t^2 – 10t + 250 = 0

Use the quadratic formula
Actually the formula they gave you is wrong. The first term should be -4.9 t^2, not -9.8 t^2. The acceleration of gravity (g) must be divided by two in the coefficient of t^2.

The stone is evidently thrown with an initial downward velocity of 10 m/s