Throwing Apricots: Calculating Range of Impact

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To calculate the range of the apricot thrown from a 310m cliff at a speed of 25 m/s and an angle of 50°, the horizontal and vertical components of the initial velocity are determined using trigonometric functions. The time of flight is calculated by solving the vertical motion equation, considering the height of the cliff and gravitational acceleration. The horizontal distance traveled is then found by multiplying the horizontal velocity by the time of flight. The final result provides the distance from the base of the cliff where the apricot lands. This problem illustrates the application of projectile motion principles in physics.
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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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