What Combinations of Speed and Angle will Enable the Cannon to Hit the Target?

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The speed adjustment mechanism for the cannon is known to cause inaccuracies

 

SKU: Phy090912

1. Assuming no drag calculate the maximum distance the ping pong cannon can fire a ball and at what angle the launcher will be set to achieve it.
2. Assuming drag calculate the maximum distance the ping pong cannon can fire a ball and at what angle the launcher will be set to achieve it.
3. What combinations of speed and angle will enable the cannon to hit the target? (Assume drag is present)
4. The speed adjustment mechanism for the cannon is known to cause inaccuracies (i.e. sometimes fires a little fast, sometimes a little slow). What combination of speed and angle would you fire the cannon to make it more likely to hit the target? Provide you reason why.
5. The cannon is found not to be pointed directly towards the target. Calculate how far off (in degrees) the cannon could be aimed before the target would be missed.
Bonus Question:  
Assuming the target is on a surface similar to the carpeted floor on the second floor of building 23. Calculate the maximum distance the ball could travel including all bounces and rolling.

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