The path of a projectile fired with speed V at an angle to the horizontal is

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The path of a projectile fired with speed V at an angle α to the horizontal is given by

y = x tan  1 gx 2 V cos

For fixed V a family of trajectories, for various angles of projection α, is obtained, as shown in Figure 2.70. Find the condition for a point P with coordinates (X, Y) to lie beyond the reach of the projectile.


Figure 2.70

YA X

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