Mitch tossed an apple to Kathy, who was on a balcony 29.4 m above him. The initial speed of the toss was 24.5 m/s. Kathy missed the apple on its way up, but she caught it on its way down. Which of the times represents how long the apple was in the air? h = rt � 4.9t�
answer options:
1 s.
2 s.
3 s.
5 s.
2007-12-16 13:56:22 · 4 answers · asked by Lola L 1 in Science & Mathematics ➔ Mathematics
3
2007-12-16 14:04:00 · answer #1 · answered by Anonymous · 0⤊ 0⤋
imagine a straight triangle (the one with 90 degree angle)
it is 29.4 m tall. The apple travels along the hypotenuse, which should be longer than that.
I assume the apple rebounded from the wall and then Kathy caught it.
So
it for sure traveled for longer than 1 second (29.4>24.5)
Did it travel a LOT more? I don't think so.
My answer is 2 sec
2007-12-16 14:09:13 · answer #2 · answered by Darya J 3 · 0⤊ 0⤋
29.4 = 24.5t -- 4.9t^2
=> t = 5/2 + â(25 -- 24) = 5/2 + 1/2 = 3s
2007-12-16 14:06:42 · answer #3 · answered by sv 7 · 0⤊ 0⤋
h = 24.5t - 4.9t²
29.4 = 24.5t - 4.9t²
4.9t² - 24.5t + 29.4 = 0
t² - 5t + 6 = 0
(t - 2)(t - 3) = 0
t = 2s ....... on the way up
t = 3s ....... on the way down
2007-12-16 14:05:36 · answer #4 · answered by Philo 7 · 0⤊ 0⤋