How Long Will the Volleyball Be in the Air?

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SUMMARY

The problem involves calculating the time a volleyball, hit with an initial velocity of 6.0 m/s from a height of 2.0 m, remains in the air before hitting the ground. The relevant equations include the kinematic equation vf² = vi² + 2ay, where the final displacement is -2.0 m, initial velocity is +6.0 m/s, and acceleration due to gravity is -9.81 m/s². The negative displacement indicates the volleyball's final position relative to its starting point, confirming that the time of flight must account for both ascent and descent, resulting in two time values from the displacement-time curve.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of projectile motion
  • Familiarity with concepts of displacement and velocity
  • Ability to interpret graphs related to motion
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  • Study the application of kinematic equations in vertical motion problems
  • Learn about the significance of initial and final velocities in projectile motion
  • Explore the concept of displacement-time graphs and their interpretations
  • Investigate the effects of gravity on objects in free fall
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Homework Statement


Jason hits a volleyball so that it moves with an initial velocity of 6.0 m/s straight upward. If the volleyball starts from 2.0 m above the floor, how long will it be in the air before it strikes the floor?


Homework Equations


y=-2.0m,Vi=+6.0 m/s a=-9.81m/s^2
vf^2=vi^2+2ay. then just put the numbers in it.

The Attempt at a Solution


I don't understand why the displacement here is -2.0m? I don't think it can be used in solving the problem because 2.0m is not the distance that the ball traveled, but just 2.0m above the floor? What's the significance of it?
 
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The displacement is -2.oo m because that's the distance it ended up at from the starting point. If you think about the displacement time curve, it's a parabola, so if you read across the graph for a displacement of -2.oom, you have two time values, one of them has to be rejected to give the right answer.
 

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