Dynamics Question on projectile motion

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SUMMARY

The discussion focuses on calculating the horizontal distance traveled by a stone thrown horizontally from a 20m high cliff at a speed of 6 m/s. The stone's mass of 0.5kg is irrelevant to the horizontal motion due to the neglect of air resistance. To find the horizontal distance, first determine the time taken to fall 20m using the equation of motion for free fall, then apply this time to calculate the horizontal distance using the formula: distance = speed × time.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with the SUVAT equations of motion
  • Basic knowledge of free fall dynamics
  • Ability to perform calculations involving time, speed, and distance
NEXT STEPS
  • Calculate the time of free fall using the equation: t = √(2h/g), where h is the height and g is the acceleration due to gravity (9.81 m/s²).
  • Apply the horizontal distance formula: distance = horizontal speed × time of fall.
  • Review the concept of neglecting air resistance in projectile motion.
  • Explore more complex projectile motion scenarios involving angles and air resistance.
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Students preparing for engineering principles exams, physics enthusiasts, and anyone looking to understand the fundamentals of projectile motion and its calculations.

leonsilavant
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Homework Statement



A stone of 0.5kg is thrown horizontally from an edge of a cliff at 6 m/s. If the cliff is 20m, what is the horizontal distance traveled by the stone before landing?

Homework Equations


I am guessing the equations are the standard SUVAT ones and possibly F=ma:

v^2 = u^2+2as
s = (ut) + 1/2(u[t^2])
v = u + at

The Attempt at a Solution



I have no solution so far because i have totally forgotten how to do it. Its for a engineering principles retake exam.

Please help!
 
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Neglecting air resistance, the horizontal velocity of the rock will remain unchanged while the rock falls to the ground at the bottom of the cliff. What you must do first is calculate how long the rock takes to fall, as if it were dropped directly from the top of the cliff. Once you have the time to fall, you can calculate how far the rock travels horizontally using the velocity and duration of the fall.
 

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