Throwing Apricots: Calculating Range of Impact

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SUMMARY

The discussion focuses on calculating the range of an apricot thrown from a 310m tall cliff at an initial speed of 25 m/s and an angle of 50° above the horizontal. Using the provided cosine and sine values for 50°, the horizontal and vertical components of the apricot's velocity are determined. The time of flight is calculated using kinematic equations, leading to a final range of approximately 112.5 meters when the apricot impacts the ground.

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  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of kinematic equations for motion
  • Basic algebra for solving equations
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Homework Statement


A young student, dissatisfied with simply dropping fruit, decides to throw an apricot off a cliff. The apricot leaves the top of the cliff at a speed of 25 m/s and at an angle of 50° above the horizon. If the cliff is 310m tall, how far down range is the fruit when it hits the ground? (Neglect air resistance, and note that the Cos50 is .643 and the Sin50 is .766)
 
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