Maximizing Distance for Clowns Shot from a Cannon

[darkbiology]

In a circus act, clowns are shot from a cannon at a constant speed vo = 11.7 m/s. The angle of launch may be varied.

a. What is the maximum distance D that a clown may travel, if the landing pad is at the same height as the mouth of the cannon?

b. The circus master wants to shoot two clowns from his cannon, one after the other, and have them land on the same landing pad a distance 0.54×D away at the same time. At what angle should the first clown be fired?

c. At what angle should the second clown be fired?

d. How long after the first clown should the second clown be fired?

 

[Bhumble]

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