A paintball is fired horizontally from a tower 45 m above the ground. If the paintball gun fires at 90 m/s… How long does it take for the paintball to hit the ground? How far away from the tower will the paintball land?

Answers

Answer 1

Answer:

The time taken for the paint ball to hit the ground is [tex]t = 2.143 \ s[/tex]

The distance of the landing point from the tower is [tex]d = 192.86 \ m[/tex]

Explanation:

From the question we are told that

   The height of the tower is [tex]h = 45 \ m[/tex]

    The speed of the paintball in the horizontal direction is  [tex]v_x = 90 \ m/s[/tex]

Generally from kinematic equation we have that

      [tex]h = ut + \frac{1}{2} at^2[/tex]

Here u is the initial  velocity of the paintball in the vertical direction and the value is 0 m/s , this because the ball was fired horizontally

         a is equivalent to [tex]g = 9.8\ m/s^2[/tex]

        t is the time taken for the paintball to hit the ground

   So    

       [tex]45 = 0* t + \frac{1}{2} 9.8 * t^2[/tex]

=>    [tex]t = 2.143 \ s[/tex]

Generally the distance of its landing position from the tower is

         [tex]d = v * t[/tex]

=>      [tex]d = 90 * 2.143[/tex]

=>    [tex]d = 192.86 \ m[/tex]

     


Related Questions

Students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism?which student below identified the correct color of light with the proper justification?

Answers

Violet would refract the most as it has the shortest wavelength amongst the visible spectrum.

The identification of the correct color of the light with the proper justification would be by student 4: violet, because it has the highest frequency, therefore the correct answer is option D.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

As given in the problem, students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism.

Student 4 would correctly identify and justify violet as the appropriate hue of the light since it has the greatest frequency, making option D the right response.

To learn more about wavelength from here, refer to the link;

brainly.com/question/7143261

#SPJ2

A pumpkin is thrown horizontally off of a building at a speed of 2.5 m/s and travels a horizontal distance of 12 m before hitting the ground.
What was the initial height of the pumpkin?
What was the final vertical velocity of the pumpkin?

Answers

Answer:

-47.04

Explanation:

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And then use 4.8s to multiply it with -9.8

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Hope this helped!! :)

The initial height of the pumpkin is 23.52m and the final vertical velocity of the pumpkin is 47.04 m/s.

Laws of motion:

Initial horizontal speed, u = 2.5 m/s

horizontal distance covered , d = 12m

So the time taken is:

t = d/u

t = 12/2.5 s

t = 4.8s

Now, the initial vertical speed, v = 0

So the vertical distance traveled by the pumpkin will be equal to the initial height of the pumpkin:

s = vt + ¹/₂gt²

s = 0.5 × 9.8 × 4.8 m

s = 23.52m

Final vertical velocity:

v' = v + gt

v' = 9.8 × 4.8 m/s

v' = 47.04 m/s

Learn more about laws of motion:

https://brainly.com/question/26083484?referrer=searchResults

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Answers

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Answers

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Try copy and pasting the intructions it into google, and it should pop up if it exists.

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Answers

Answer:

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Answer:

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Answers

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