jasminefranco2190 jasminefranco2190
  • 14-09-2019
  • Physics
contestada

Calculate the least velocity of projection required to give
amissile a horizontal displacement of 500m if the angle
ofprojection is 24 degrees?

Respuesta :

nuuk nuuk
  • 17-09-2019

Answer:81.24 m/s

Explanation:

Given

Horizontal displacement([tex]R_x[/tex])=500

Angle of projection[tex]=24 ^{\circ}[/tex]

Let u be the launching velocity

and horizontal range is given by

[tex]R_x=\frac{u^2sin2\theta }{g}[/tex]

[tex]500=\frac{u^2sin48}{9.81}[/tex]

[tex]u^2=\frac{500\times 9.81}{0.7431}[/tex]

[tex]u^2=6600.32854[/tex]

[tex]u=\sqrt{6600.32854}=81.24 m/s[/tex]

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