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  • 07-03-2020
  • Physics
contestada

A ball is thrown horizontally from a point 24m above the ground strikes the ground after travelling horizontally a distance of 18m with what speed vo was it thrown?

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nuuk nuuk
  • 07-03-2020

Answer:8.14 m/s

Explanation:

Given

height from which ball is thrown is [tex]h=24\ m[/tex]

horizontal distance moved by ball [tex]x=18\ m[/tex]

suppose [tex]u_x[/tex] is the speed by which ball is thrown horizontally

thus

vertical distance traveled in time t is given by

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

[tex]24=0=\frac{1}{2}gt^2[/tex]

[tex]t=\sqrt{\frac{2\times 24}{9.8}}[/tex]

[tex]t=2.21\ s[/tex]

horizontal distance is given by

[tex]R=u_x\times t[/tex]

[tex]18=u_x\times 2.21[/tex]

[tex]u_x=8.14\ m/s[/tex]

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