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an arrow is shot horizontally from the top of a tower at a speed of 15m/s and hits the ground with a speed of 25m/s. calculate the height of the tower

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Ajeigbeibraheemidn

The height of the tower is 20.41 m.

To determine the height of the tower, we need to understand the concept of the energy conservation principle since the speed and acceleration due to gravity are involved in the system.

What is the energy conservation principle?

The principle of energy conservation lets us know that in an isolated system, energy can neither be created nor destroyed.

  • It can be expressed using the formula:

[tex]\mathbf{mgh = \dfrac{1}{2}mv_1^2 = \dfrac{1}{2}mv_2^2}[/tex]

  • From the parameters given:
  • The initial speed [tex]v_1[/tex] = 15 m/s
  • The final speed [tex]v_2[/tex]  = 25 m/s

By applying the energy conservation principle, we have:

[tex]\mathbf{gh +\dfrac{1}{2}v_1^2 = \dfrac{1}{2}v_2^2}[/tex]

[tex]\mathbf{h = \dfrac{v_2^2- v_1^2 }{2 \times g}}[/tex]

[tex]\mathbf{h = \dfrac{25^2-15^2 }{2 \times 9.8}}[/tex]

h = 20.41 m

Learn more about the energy conservation principle here:

https://brainly.com/question/22236101

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