11.07.2015 Views

5. Projectile Motion - Galileo and Einstein

5. Projectile Motion - Galileo and Einstein

5. Projectile Motion - Galileo and Einstein

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Maximum RangeA• Taking the muzzle velocity as fixed, howdo we vary the angle of firing θ tomaximize the range?• Now• Sov 0v = v cos θ,v = v0x0 0y0(2v ) 0g0x0y0(2)sinθR= 2 v v / g = 2 v / g sinθcosθ=/ sin 2θR v g= 2/max 0• And maximum range at 45°http://www.edupics.com/humancannon-t10746.jpgθv 0

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