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Please solve (10pts)?
A ball is thrown vertically upward from the top of a building 84 feet tall with an initial velocity of 70 feet per second. The distance S (in feet) of the ball from the ground after T seconds is
S = 96 + 80T - 16t^2
After how many seconds will the ball touch the ground?
Note: the problem is a quadratic equation...
2 Answers
- 1 decade agoFavorite Answer
S = 96 + 80T - 16t^2=0
(-80 +/- √(80^2 -(4)(-16)(96)))/2(-16)=
(-80 +/- √(6400 + 6144))/-32=
(-80 +/- √12544)/-32=
(-80 +/- 112)/-32=
t = 6 or -1
but you can't have negative time so t = 6
- 1 decade ago
The answer to 0 = 96 + 80T - 16t^2
Is t = 6, though the equation you gave doesn't seem to match the problem description.
The reason I give for this is at t = 0, the ball should be at the top of the building, S = 84 ft, not S = 96 ft as the equation gives (unless the person who threw it is close to 12 ft tall). You might want to double check your info.