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]

     


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Answers

Answer:

So waves are everywhere. But what makes a wave a wave? What characteristics, properties, or behaviors are shared by the phenomena that we typically characterize as being a wave? How can waves be described in a manner that allows us to understand their basic nature and qualities?

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Hope That Helps!!

Explanation:

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What was the initial height of the pumpkin?
What was the final vertical velocity of the pumpkin?

Answers

Answer:

-47.04

Explanation:

Divide 12 m by 2.5 m/s which equals 4.8s

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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Answer:

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brainly.com/question/7143261

#SPJ2

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Answers

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