You have been employed by the local circus to plan their human cannonball perfor

Question

You have been employed by the local circus to plan their human cannonball performance. For this act, a spring loaded cannon will shoot a human projectile, the Great Flyinski, across the big top to the net below. The net is located 5.0m lower than the muzzle of the cannon from which the Great Flyinski is launched. The cannon will shoot the Great Flyinski at an angle of 35 degrees above the horizontal and at a speed of 18 m/s. The ringmaster has asked that you decide how far from the cannon to place the net so that the Great Flyinski will land in the net and not be splattered on the floor, which would greatly disturb the audience. What do you tell the ringmaster?

Please show work. Thanks!

Explanation / Answer

vertical equation

-5 = ucos 35 t -0.5gt^2

horizontal distance = usin 35t

solving the first equation

t= 3.31 sec

therefore range = 34.17 m so the net has to be placed at 34.17 m

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