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By throwing a ball at an angle 45 degrees a girl can throw the ball a maximum horizontal distance R on a level field How ar can se throw the same ball vertically upward assume that her muscles give the ball the same speed in each case. (Is this assumption valid?)

Respuesta :

Answer:

Explanation:

Given

Initial launch angle [tex]\theta =45^{\circ}[/tex]

Suppose u is the initial launching velocity

Range of Projectile is given by

[tex]R=\frac{u^2\sin 2\theta }{g}[/tex]

thus value of [tex]u^2=\frac{Rg}{\sin 2\theta }[/tex]

If this ball is thrown vertically upward with u

then maximum height reached is

[tex]h=\frac{u^2}{2g}[/tex]

[tex]h=\frac{\frac{Rg}{\sin 2\theta }}{2g}[/tex]

[tex]h=\frac{R}{2\sin 2\theta }[/tex]