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A rifle with a muzzle velocity of Vo shoots a bullet at a target R away at the level of the muzzle. How high above the target must the rifle be aimed so that the bullet will hit the target? (Neglect air resistance.) Let Vo = 250 m/s and R = 100 m. Find H

Respuesta :

Answer:

H = 0.784 m

Explanation:

given,

speed of velocity in x - direction = V₀

Range, R = 100 m                  

let time taken be t

in - x direction  

[tex]R = V_x t[/tex]              

[tex]R = V_0 t[/tex]                            

[tex]t = \dfrac{R}{V_0}[/tex]            

in- y direction                                              

[tex]H = V_{y}t+\dfrac{1}{2}gt^2[/tex]  

[tex]H = 0+\dfrac{1}{2}gt^2[/tex]                                      

[tex]H = \dfrac{1}{2}g(\dfrac{R}{V_0})^2[/tex]  

[tex]H = \dfrac{gR^2}{2V_0^2}[/tex]                      

[tex]H = \dfrac{9.8\times 100^2}{2\times 250^2}[/tex]  

H = 0.784 m

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