Find the inverse of y=-3x+2 graph the original inverse

A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.

sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

$y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y_{o}$ - Initial height of the ball, measured in feet.

$v_{o}$ - Initial speed of the ball, measured in feet per second.

$g$ - Gravitational constant, equal to $-32.174\,\frac{ft}{s^{2}}$ .

$t$ - Time, measured in seconds.

Given that $y_{o} = 0\,ft$ , $v_{o} = 95\,\frac{ft}{s}$ , $g = -32.174\,\frac{ft}{s^{2}}$ and $y = 120\,ft$ , the following second-order polynomial is found:

$120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

$-16.087\cdot t^{2} + 95\cdot t -120 =0$

The roots of this polynomial are, respectively:

$t_{1} \approx 4.075\,s$ and $t_{2} \approx 1.831\,s$ .

Both roots solutions are physically reasonable, since $t_{1}$ represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas $t_{2}$ represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0

3 years ago

What is the prime factorization of 293 in expanded form

lutik1710 [3]

293 is a prime number, so you can't divide it in factors

5 0

3 years ago

5. What is the measurement of each angle?

Alexxandr [17]

Answer:

x=14

Step-by-step explanation:

The sum of a interior angle is 180°

(7x-11)+(2x-3)+(5x-2)°=180°

7x+2x+5x=180+11+3+2

14x/14=196/14

x= 14

Hope this answers your question!! :)

6 0

2 years ago

What is the value of the expression x + (–y) when x = –2.3 and y = –5.9? A. –8.2 B. –3.6 C. 3.6 D. 8.2

11Alexandr11 [23.1K]

Now it would be
-2.3+(-5.9)

now just add those two together
and u get -8.2
So the answer is A

7 0

2 years ago

one-gallon jugs of water are shipped in cartons containing 12 jugs. how many cartons are needed for 876 jugs to be shipped?

lana66690 [7]

My best guess is that 73 cartons are needed. Here's how:

876/12 ( because the jugs are shipped in cartons containing 12) = 73

This is just a guess, I'm sorry if someone proves me wrong, but this is what I have.

4 0

3 years ago