Homework Help: Proof - Projectile's Range

1. Oct 11, 2008

peasant242

1. The problem statement, all variables and given/known data

Prove that a projectile launched at angle @ has the same horizontal range as one launched with the same speed at angle (90 - @).

2. Relevant equations

Obviously kinematics will be used =/

3. The attempt at a solution

I've been messing around with kinematics but haven't gotten anywhere. I also know that sin(90-@) = cos(@) . Help appreciated :]

2. Oct 11, 2008

Kurret

let the initial speed be V, and decomposite into V_y=Vsin@ and V_x=Vcos@. Now use this to first calculate the time the projectile is in the air and then the range of the projectile.

3. Oct 11, 2008

peasant242

I appreciate the help but when you decomposite the V wouldn't it be:

V_y = sin(90-@)
V_x = cos(@)

4. Oct 11, 2008

Kurret

uhm no, you said yourself that sin(90-@)=cos@, so that would give V_y=V_x :)

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