kevinfoss7
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As a part of a lab, we were asked to find the theoretical relationship between R (the range of the projectile) and theta (the launch-angle). There is no recorded value for time.
equations given are:
R(θ)=x=d/dt v0x = v0xt-->R(θ)=v0xt v0x=v0cosθ
z= d/dt(v0z-gt)+z0=v0zt-1/2(gt^2)+z0 v0z=v0sinθ
anything with a 0x or 0z after means initial in that direction. I am unsure how to make those subscript on the forum
I have the equation simplified to
R(θ)=(v0cosθ)*(- v0sinθ±((v0sinθ)^2+2g(z-z0))^1/2))/g
but the presence of z-z0 is bothersome... how can I reasonably cancel it out?
equations given are:
R(θ)=x=d/dt v0x = v0xt-->R(θ)=v0xt v0x=v0cosθ
z= d/dt(v0z-gt)+z0=v0zt-1/2(gt^2)+z0 v0z=v0sinθ
anything with a 0x or 0z after means initial in that direction. I am unsure how to make those subscript on the forum
I have the equation simplified to
R(θ)=(v0cosθ)*(- v0sinθ±((v0sinθ)^2+2g(z-z0))^1/2))/g
but the presence of z-z0 is bothersome... how can I reasonably cancel it out?