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aivan3 [116]
3 years ago
9

At a basketball game, members of the Spirit Club use a t-shirt cannon to launch team t-shirts to spectators in the stands. The e

quation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v. h = -16t 2 + vt + c Solve the equation for initial velocity, v. The cannon launched a t-shirt from an initial height of 5 feet. After 3 seconds the shirt has reached a height of 131 feet. Use your equation from #1 to find the initial velocity of the t-shirt. Show your work. What does the equation from #1 tell you about the value of the velocity, v, when t = 0? Explain.
Mathematics
1 answer:
Masteriza [31]3 years ago
4 0
  h(t) = -16t^2 + vt + 5   h(3) = 131 ft   h(3) = -16(3)^2 + 3v + 5 = 131   3v = 270   v = 90 ft/s
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Viefleur [7K]
The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
6 0
3 years ago
HELPPPP Write the equation of a line in slope intercept form with a slope of -3/4 and a y-intercept of -9.
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y=-3/4x-9

Step-by-step explanation:

plz give brainliest!! hope this helps!

5 0
3 years ago
The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?
Phantasy [73]

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation:\frac{5+x^{2} }{2} =4 \frac{-6+y^{2} }{2} = 3

You multiply 4 by 2 which gives you 8 and write the equation5+x^{2} =8 then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation-6+y^{2}=6 then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates\frac{5+3}{2}=\frac{8}{2} =4 \\  \frac{-6+12}{2} =\frac{6}{2} =3 and you get the answer for the midpoint which is (4,3)

6 0
2 years ago
A tap is filling a 10-liters tank at the speed of 5 liters per minute.
SVETLANKA909090 [29]

Answer:

<em />

  • <em>It takes</em><u>     2.5 minutes   </u><em>to fill the tank.</em>

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

  • Net rate = rate of filling - rate of leaking
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Thus, consiedering the tank is empty at the beginning, the time is:

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4 0
3 years ago
Ann's first option is a plot of land adjacent to a current park.
oksian1 [2.3K]

Given:

The equation for the area of the first option is:

x^2+200x=166400

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

x^2+200x=166400

It can be written as:

x^2+200x-166400=0

Splitting the middle term, we get

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We know that the side length of a park cannot be negative. So, the only possible value of x is 320.

Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.

4 0
2 years ago
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