Throwing a Pebble:Measuring Velocity and Acceleration

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SUMMARY

The discussion focuses on the physics of projectile motion, specifically analyzing a pebble thrown vertically with an initial speed of 11.6 m/s. It establishes that the pebble reaches maximum height in approximately 1.18 seconds and impacts the base of the cliff with a velocity of -76.4 m/s after 7.16 seconds. The acceleration due to gravity is consistently -9.8 m/s², affecting the pebble's motion throughout its trajectory.

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of initial velocity and acceleration concepts
  • Familiarity with projectile motion principles
  • Basic grasp of average speed and velocity calculations
NEXT STEPS
  • Study the kinematic equations for uniformly accelerated motion
  • Learn about the effects of gravity on projectile motion
  • Explore the concept of maximum height in vertical throws
  • Investigate the relationship between time, velocity, and displacement in projectile motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and acceleration.

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A Boy is standing at the edge of a cliff. He holds his hand over the edge of the cliff and throws a pebble directly up into the air with an initial speed of 11.6 m/s.
a) How long does it take for the pebble to reach maximum height?
b) What is the pebbles velocity when it hits the base of the cliff exactly 7.16 seconds after it was thrown? What is the pebble's speed at the same point in time?




average speed= distance/time; average velocity= (VF+VI)/2; average velocity= displacement in position/change in time; average acceleration= change in velocity/change in time; change in position= 1/2at^2
 
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