From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
Answer:
D.
Step-by-step explanation:
Answer:
a)
v=<400, 450+3t, 600-9.81t> m/s
r=<400t, 450t+3/2, 15+600t-9.81/2> m/s
b) attach file
c) t=122.324s
d) z=18369.9854 m
Step-by-step explanation:
a)
The equation for velocity of each component is v=+at, in this case the x-axis component has acceleration 0, the y-axis component has acceleration 3 and the z-axis component has -g, where g=9.81.
The equation for position of each component is x=+t+a/2,
with <, ,>=<0,0,15>.
c) This time is t when z=0, with positive sign.
d)Solving the equation = + 2*a*(z-) for z, with =0.
If we set the equation equal to 0, we can factor it to find its roots:
x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2
This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)
Answer:
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