If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.

Answers

Answer 1

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.


Related Questions

Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?

Answers

Answer:

17 students

Step-by-step explanation:

If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.

please answer the questions.​

Answers

Answer:

1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)

2. 122 square cm

Step-by-step explanation:

break the shape into 2, find area of each, add those areas together

PLZZZ HELP ME OUT........................ PLZZ​

Answers

Answer:

a)  constant of proportionality is 3/5

b)  3.5cm per 1 minute

c)  21 cm water in trough after 6 min

d)  70 cm

Step-by-step explanation:

d)  21 / 6 = x / 20

    7 / 3 = x / 20    

    2x = 140

    x = 70

It would be D 20 minutes water levels

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Solve by completing the square x^2-10x-24=0

Answers

Step-by-step explanation:

=x²-10x-24

=x²-4x+6x-24

=x(x-4)+6(x-4)

=(x-4)(x+6)

hope it helps.

You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

Have to find x,y and z.

Answers

Answer:

z= 2√2

x=2

y=2√2

find the trigonometric ratio

this is geometry with trig

Answers

Answer:

tanZ = [tex]\frac{20}{15}[/tex]

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent}[/tex] =  [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

One less than five times a number is fewer
than twenty-four.

Answers

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

PLS HELP
PLSSSSSSSSSSS

Answers

Answer:

y=-15

.2020202020charactersneeded

yoo someone help asaapp!​

Answers

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................


Graph the line with the equation y = 22 - 2.
y
10
9
8
7
6
5
4
3
2
-10 -9
-8
-7 -6
-5
-4
-3
-2
-
1
2
3
4
5 6
7
8
9 10
-1

Answers

Ok I uploaded a picture of the graph I hope it helps :)
The slope is 0 and the y-int is (0,20)

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

If a line passes through (4,13) and (6,19) what is the slope? And can you please explain how you got your answer

Answers

Answer:

The slope is 3.

Step-by-step explanation:

The equation for slope is either [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{y1-y2}{x1-x2}[/tex]. So this should be [tex]\frac{19-13}{6-4}[/tex], which is 3.

Answer:

Slope =

6

2

Step-by-step explanation:

First find the rise over run

Second use the format

Y2-y1

———-

X2-x1

Using the format you will get this

19-13

——

6-4

Next solve

Which then you get

6

2

Hiiii Can someone please help me please
A, B, C, or D
F, G, H, or J
Ill give lots of points because there's two Please help me thank you BRAINLIEST ANSWER btw ❤️

Answers

Answer:

B, H

Step-by-step explanation:

The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30

Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.

Answer:

B and H are the correct answers

A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87

Answers

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998

SOMEONE DO THESE QUESTIONS FOR ME ASAP!! - GIVING BRAINLIEST

Answers

Answer:

1 Question= 26

2 Question=41

3 Question= 57

4 Question= 15

5 Question = 20

Step-by-step explanation:

A spinner is shown below.

Which of the following relative frequencies match the expected probability?

Answers

The second one, fourth one and fifth one

PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ

Answers

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile

2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10

Answers

Answer:

3/10

Step-by-step explanation:

1/5=2/10

2/10+1/10=3/10

Answer:

ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.

can someone plz help i need it quick

Answers

Answer:

The correct answer is 70.

60+50=110

180-110=70

the angels x and y are equivalent

Step-by-step explanation:

hoped this helped

✩brainliest appreciated✩

Answer:

the answer is dododoodod

Step-by-step explanation:

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.)
A. 31 in squared
B. 69 in squared
C. 106 in squared
D. 125 in squared

Answers

Answer:

A

Step-by-step explanation:

Find the perimeter of this semi-circle with radius,

r

= 26cm.

Give your answer as an expression in terms of

π?

Answers

Answer:

26x2,

52xπ

Step-by-step explanation:

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let 'r' be the radius of the circle. The circumference of the circle will be

C = 2πr units

The radius of the semicircle is given as,

r = 26 cm

Then the circumference of the semicircle is half of the circle. Then we have

C = 1/2 x 2πr

C = πr

At r = 26 cm, then we have

C = 3.14 x 26

C = 81.64 cm

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

1.How do you know you have a direct variation in the
relationship between two quantities?


Answers

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Solve the simultaneous equations
x + 5y = 20
x + 3y = 14

X= ?
Y= ?

Answers

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

in the equation x+12=30 does x=16 explain your answer

Answers

no x does NOT equal 16. you would substitute x for 16 which gives you 16+12. That equals 28 not 30. The correct answer is x=18



Rewrite in simplest terms: 8(-10r - 9) + 9r



Answers

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

What is the volume of the tissue box 5in 7in 2in

Answers

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

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