Answer:
1) False. 2) True. 3) True. 4) False.
Step-by-step explanation:
1) False. The force of gravity will drive it down. The path will form a parabola.
2) True. There is no variation in the velocity in the horizontal axis and no force applied so the acceleration is zero.
3) True. The travel time depends on the height and the acceleration of gravity, and independent of the velocity of the rocket at launch.
4) False. The travel distance depends on the initial velocity of the rocket (at launch).
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = x² - 6x + 3
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 3
= (x - 3)² - 6 ← in vertex form
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = 1 > 0, thus
(3, - 6 ) is a minimum
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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Answer:
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