## Question

###### A cannon fires a projectile at speed V down a hillwith a slope theta.A) If the cannon fires at an angle phi above thehorizon, how far down the hill will it land? 5 points.B) Show that your answer gives the correct (and famous)result for theta =0. What angle gives the maximum range forthis case? 2 points. C) Would you expect to aim the cannon higheror lower for maximum range if firing downhill?

A cannon fires a projectile at speed V down a hill with a slope theta. A) If the cannon fires at an angle phi above the horizon, how far down the hill will it land? 5 points. B) Show that your answer gives the correct (and famous) result for theta =0. What angle gives the maximum range for this case? 2 points. C) Would you expect to aim the cannon higher or lower for maximum range if firing downhill?

## Answers

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