Projectile: questioning need to double time

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SUMMARY

The discussion centers on the physics problem of a ball thrown straight upward with an initial velocity of 18 m/s, requiring the calculation of the total time until it strikes the ground. The correct approach utilizes the equation vf = vi + at, leading to a time of 1.8 seconds to reach maximum height. However, the total time for the ball's entire trajectory is 3.6 seconds, as the time to ascend equals the time to descend. The misconception among classmates regarding doubling the ascent time is clarified by emphasizing the symmetry of projectile motion.

PREREQUISITES
  • Understanding of kinematic equations, specifically vf = vi + at
  • Knowledge of gravitational acceleration, specifically -9.8 m/s²
  • Familiarity with concepts of projectile motion and symmetry in trajectories
  • Ability to differentiate between ascent and descent phases in projectile motion
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion
  • Learn about the effects of air resistance on projectile trajectories
  • Explore the concept of maximum height and its calculation in vertical motion
  • Investigate real-world applications of projectile motion in sports and engineering
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and its calculations.

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Homework Statement


"A ball is thrown straight upward with a velocity of 18 m/s. How much time passes before the ball strikes the ground? Disregard air resistance."

vi = 18 m/s
a = -9.8 m/s2
t = ?
[not sure: vf = 0 m/s]



Homework Equations


vf = vi + at



The Attempt at a Solution


vf = vi + at
t = [(vf - vi)/a]
t = [(0 m/s - 18 m/s)/-9.8 m/s2] = 1.8 s

Concerns:
--First, I understand that if I have final velocity as 0 m/s, that refers to when the ball has reached its maximum height--not its pre-impact final velocity.
--Second, with the first comment in mind, I'm not sure my approach is appropriate for this particular problem--and would appreciate guidance if it's not.
--Third and finally, some of my classmates insist that the correct answer is about double the answer I arrived at because "you just multiply the answer by 2 since it's only gone half of the distance" as I have conveyed above. I understand this thinking to some degree, but its simplicity seems to suggest the ball is projected from the ground--rather than simply thrown from what I'm gathering is knee-height. I would love to get your thoughts.
 
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There does not appear to be any mention of knees, knee-height, or other initial launch heights in the problem statement, so it's best to assume that it's zero -- launched from ground height.

The ball goes up, decelerating all the way, achieves its maximum height (and zero velocity at that instant), then begins its downward journey, accelerating all the while, until it strikes the ground. By symmetry, it's velocity immediately before striking the ground will be -18m/s.

Your classmates are correct that the point of apogee (highest height achieved) is the halfway point for the entire trajectory.
 
Thanks very much for the prompt and informative reply!
 

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