Its height (h) after t seconds is given by the equation h(t) = -5t2 + 30t. Find the domain for h(x).
A. (-∞, 0)
B. (6, ∞)
C. (0, 6)
D. Any real numbers
2006-11-09 02:56:22 · 5 answers · asked by nissa m 1 in Science & Mathematics ➔ Mathematics
This problem starts when you throw the object. Time starts at zero and times less than zero don't make sense, so C must be the answer. The reason is stops at 6 is because at time = 6, the ball hits the ground again. (If you plug 6 into the equation, it's zero.)
2006-11-09 03:00:54 · answer #1 · answered by Anonymous · 0⤊ 0⤋
a) Velocity is derivative of height. Speed = -32t+144 b) -32(6) + 144 = -48 c) 0 = -32t + 144; t = 144 / 32 = 9 / 2 = 4.5 seconds d) -50 = -32t + 144; t = 194 / 32 = 97 / 16 = 6.0625 seconds
2016-05-22 00:20:41 · answer #2 · answered by Emely 4 · 0⤊ 0⤋
answer C
explanation :
Velocity of the object is the derivative of h(t)
v(t) = -10t +30
at is apex (maximum height) this deivative equal 0
so 0 = -10t + 30 solution t=3
the object takes 3 seconds to its apex and 3seconds to fall.
Sum 6 seconds so the domain is c (0,6)
2006-11-09 03:13:00 · answer #3 · answered by maussy 7 · 0⤊ 0⤋
If you look at the answers, you don't even have to do any math! Since you know that t starts at zero, (C) is the only possible answer!
P.S. This is a good test-taking trick. Sometimes all but one answer are clearly wrong. Good luck!
2006-11-09 03:25:29 · answer #4 · answered by Anonymous · 0⤊ 0⤋
domain=(0,6)
2006-11-09 02:58:57 · answer #5 · answered by raj 7 · 0⤊ 0⤋