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For a given initial velocity, specifically how does the range of a ground-launched projectile depend on...

For a given initial velocity, specifically how does the range of a ground-launched projectile depend on the initial angle of projection?

Theoretically, for a ground-launched projectile, what value for the initial angle of projection would yield a maximum range?

What is the value of the maximum range in terms of the initial velocity?

In determining the magnitude of the initial velocity of a projectile using the ballistic pendulum, what conservation laws are involved?

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