Projectile Motion Example Problem 2 An iron worker on the ground tosses a rivet at 10 m/s at a bucket of rivets on a scaffold. Determine the two launch.

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Projectile Motion Example Problem 2 An iron worker on the ground tosses a rivet at 10 m/s at a bucket of rivets on a scaffold. Determine the two launch angles at which the rivet can be thrown to strike the rim of the bucket. Specify which launch angle will enable the rivet to land in the bucket.

First write the two projectile position equations:

Though two trajectories are possible for the rivet to strike the rim of the bucket, only the higher trajectory, with launch angle  1 = 76.8º, will allow the rivet to land in the bucket.