How Long Does a Ball Thrown 60 Feet Up Take to Land?

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SUMMARY

The discussion focuses on calculating the time it takes for a ball thrown 60 feet into the air to land back down. The relevant equation used is x = V(o)T + 1/2(a)T, where x represents the final position, V(o) is the initial velocity, T is time, and a is acceleration. The student incorrectly attempted to solve for time using the equation but mismanaged the calculations, leading to an invalid result. The correct approach requires careful application of the kinematic equations for projectile motion.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Familiarity with projectile motion concepts
  • Basic algebra skills for solving equations
  • Knowledge of gravitational acceleration (approximately -32 ft/s²)
NEXT STEPS
  • Review the kinematic equation x = V(o)T + 1/2(a)T in detail
  • Learn how to derive initial and final velocities in projectile motion
  • Practice solving problems involving free fall and projectile motion
  • Explore the concept of time of flight in vertical motion scenarios
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and kinematic equations.

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Homework Statement


A student throws a ball 60 ft into the air

a)How long does he have to wait to catch it on the way down? <----Just needing help on this!
b)What was its initial velocity?<----and this if a) was solved.
c)What will be its final velocity?


Homework Equations


x=V(o)T + 1/2(a)T

x = Final Position
V(o) = Initial Velocity
T = Time (assuming final)
a=acceleration




The Attempt at a Solution



Attempt was not full proof but was the only way "I" could think of but I know its wrong.

1st Step: 120 ft. = (0 ft/s)T + 1/2(-32 ft/s^(2))T
2nd Step: 120 ft. = T + (-16ft/s^(2))T ;Zero disappeared. Multiplied 1/2(-16).
3rd Step: (120 ft.)/ (-16 ft/s^(2)) = 2T ; Dividing 120/-16. Added Both Time(T) together.
4th Step: (-7.5 s^(2)) / (2)=T
5th Step: Got -3.75 s^(2) = T

Optional Step: Square root -3.75 s^(2) = Nevermind...Thats why I need help. Can someone walk me through this. Thank You
 
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