The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact If the projectile is fired with an initial velocity v 0 at an angle a with the horizontal, we find that where g is the downward acceleration due to gravity Find the angle for which the range R is the largest possible R vo g 00 sin 2a,

Question: The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact. If

The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact. If the projectile is fired with an initial velocity v₀at an angle a with the horizontal, we find that R= vo g 00 -sin 2a,

where g is the downward acceleration due to gravity. Find the angle α for which the range R is the largest possible.

R= vo g 00 -sin 2a,

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