What Are the Velocities and Displacement of a Projectile Launched from a Cliff?

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SUMMARY

A projectile launched from a 100m high cliff at a 30-degree angle below the horizontal travels a horizontal distance of 50m before hitting the ground. The initial and final velocities can be calculated using projectile motion equations, specifically considering the vertical and horizontal components of motion. The total displacement of the projectile is determined by the vertical drop and the horizontal distance traveled, resulting in a net displacement vector that can be calculated using the Pythagorean theorem.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of vector components in physics
  • Familiarity with trigonometric functions
  • Ability to apply the Pythagorean theorem
NEXT STEPS
  • Calculate initial velocity using the equation for projectile motion
  • Determine final velocity using kinematic equations
  • Explore the concept of displacement in two dimensions
  • Review the effects of launch angle on projectile trajectories
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Students studying physics, educators teaching projectile motion, and anyone interested in understanding the dynamics of objects in motion.

ken62310
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A projectile is launched from the edge of a 100m high vertical cliff at an angle of 30 degree below the horizontal. The projectile hits the ground at a distance of 50m from the bottom of the cliff.
-Find the initial and final velocities of the projectile(magnitudes and directions).
-Find total displacement performed by the projectile.
 
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Welcome to PF. What have you attempted so far? I assume you are familiar with projectile equations.
 

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