Answer:
80 ft/s
Step-by-step explanation:
Given that,
A ball is thrown vertically upward from the top of a 96-ft tower, with an initial velocity of 16 ft/sec. Its position function is given by :
...(1)
When it hits the ground, s(t) = 0
At t = 3 s it will hit the fround.
We need to find its velocity when it hits the ground.
Differentiate equation (1) to find its velocity.
...(2)
Put t = 3 in equation (2)
Hence, when it will ground its velocity is 80 ft/s.
To solve a quadratic equation, we use the quadratic formula which is expressed as:
x1 = [-b + √(b²-4ac)] / 2a]
<span>x2 = [-b - √(b²-4ac)] / 2a]
</span>
These formulas are used to solve for the values of the roots of the equation given. From the equation,
a = 1
b = -5
c = -4
Substituting the values, we have:
x1 = 5.70
x2 = -0.70
Therefore, the negative real number is -0.70.
Answer:
slope: 1/2
Step-by-step explanation:
Finding the slope:
(8,4) (4,2)
(x1, y1) (x2, y2)
Subtract the x values and subtract the y values. (x1 - x-2) and (y1 - y2)
8 - 4 = 4
4 - 2 = 2
The slope is written as rise over run or y over x.
So, 2/4
Simplify: 1/2
Answer:
1 3/4 t -7/2
Step-by-step explanation:
t + 3/4t - 7/2
Get a common denominator for the t terms, which is 4
4/4t + 3/4t - 7/2
7/4 t -7/2
This is an improper fraction so change it to a mixed number
1 3/4 t -7/2