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a boat is stationary at 12\, \text{meters}12meters12, start text, m, e, t, e, r, s, end text away from a dock. the boat then begins to move toward the dock with an acceleration of 5.0\, \dfrac{\text{m}}{\text{s}^2}5.0 s 2 m ​ 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.

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A boat is stationary at  12 meters away from a dock. The boat then begins to move toward the dock with an acceleration of 50 m/s². How long will it take the boat to reach the dock?

Answer:

  • Boat can reach the dock at 2.19 s time.

Explanation:

Given that

  • Distance of boat to dock d = 12m.
  • Acceleration of boat a = 50 m/s².

To find

  • How long will it take the boat to reach the dock ?

So according the question

We have,

  • Initial velocity u = 0 m/s.
  • Acceleration of boat a = 50 m/s².
  • Distance of boat from dock s = 12m.

Now, for finding time travelled by boat to reach dock we can use the second equation of motion i.e.

  • second equation of motion

         s = ut + [tex]\frac{1}{2}[/tex] at²

     where,

         s = Distance.

          u = Initial velocity.

          t = Time.

          a = Acceleration.          

Now, putting all given values in second equation of motion,

So, we get

          s = ut + [tex]\frac{1}{2}[/tex] at²

         12 = 0t + [tex]\frac{1}{2}[/tex] ×5× t²

         12×2 = 5t²

         t² = [tex]\frac{12 \times 2}{5}[/tex]

         t = [tex]\sqrt{\frac{24}{5}}[/tex]

         t = [tex]\sqrt{{4.8}}[/tex]

        t = [tex]2.19[/tex] s.

Answer:

  • Boat can reach the dock at 2.19 s time.

To learn more about application of equation of motions please click on the link.

https://brainly.com/question/14236800

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