Finding Initial Velocity for Cannon Projectile to Hit Enemy Headquarters

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SUMMARY

The problem involves calculating the initial velocity required for a projectile fired from a cannon to hit a target located 75.0 meters above and 350 meters horizontally from the cannon. The projectile is launched at an angle of 40.0 degrees. Using the equations of motion for projectile motion, the initial velocity can be determined by applying the kinematic equations to solve for the required speed to reach the specified coordinates without assuming it hits at the peak of its trajectory.

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  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions for angle calculations
  • Ability to solve quadratic equations
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Homework Statement



A projectile must be fired from a cannon and hit the enemy headquarters located on the top of a cliff 75.0 m above and 350 m from the cannon. The cannon will shoot the projectile at an angle 40.0 degrees above the horizontal. What does the speed of the projectile need to be when it is fired from the cannon so that it will hit the enemy headquarters. Don't assume the projectile will hit the headquarters at the highest point of it's flight.



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