HELP PLEASE ASAP Find the distance between A and B. (5,1) (-3,-4)
1 answer:
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Answer:
t = 3.3 seconds
Step-by-step explanation:
From the formula of vertical motion of an object under gravity we can write the equation
....... (1)
Where u is the initial velocity (in feet per second) of throw of the object and t is time of travel in seconds and the value of g i.e. gravitational acceleration is 32 feet/sec².
Now, while a ball is thrown vertically upward with velocity 50 ft/sec from a height of 7 ft then the time of travel of the ball before reaching the ground, the equation (1) will be written as
As we have selected the upward direction as positive so, gravitational acceleration,g will be negative and as the displacement is downward by 7 feet, so it will be negative.
⇒ 16t² - 50t - 7 = 0 ........ (2)
Now, applying Sridhar Acharya formula,
{Neglecting the negative root as t can not be negative}
⇒ t = 3.3 seconds {Rounded to the nearest tenth}
(Answer)
The minimum value of f(4) - f(1) is <u>6</u>.
The maximum value of f(4) - f(1) is <u>12</u>.
In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.
Taking the given inequality as (i).
We are asked to find the minimum and maximum possible values of f(4) - f(1).
We multiply (i) by dx throughout, to get:
4dx ≤ f'(x)dx ≤ 5dx.
To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:
Thus, the minimum value of f(4) - f(1) is 6.
The maximum value of f(4) - f(1) is 12.
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