Projectile Motion: Finding Time

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SUMMARY

The discussion focuses on solving for time in projectile motion problems, specifically using the equation y = 0.5gt². The user struggles with calculating time when it is not provided, leading to incorrect results in tests and assignments. The correct formula for time derived from the vertical displacement is t = sqrt(2y/g), where g is the acceleration due to gravity (9.8 m/s²) and y is the vertical displacement (8848 m). The user emphasizes the importance of correctly applying this formula to avoid errors in subsequent calculations.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with kinematic equations, particularly those involving acceleration and displacement.
  • Knowledge of the acceleration due to gravity (g = 9.8 m/s²).
  • Ability to manipulate algebraic equations for solving variables.
NEXT STEPS
  • Study the derivation and application of the kinematic equation y = 0.5gt².
  • Learn how to calculate horizontal displacement using the formula x = vt.
  • Explore examples of projectile motion problems to practice finding time and displacement.
  • Review common mistakes in projectile motion calculations to improve accuracy.
USEFUL FOR

Students studying physics, particularly those struggling with projectile motion problems, and educators looking for effective teaching strategies in kinematics.

degrass1fan
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Homework Statement

Ok, so I'm having a lot of trouble finding time when it is not given in a projectile motion problem. Here's what I have set up:

X
A=O
Vi=100.0
VF=100.0
D=?
T=?

Y
A=-9.8
Vi=O
Vf=?
D=8848m
T=?

Homework Equations



Distance(d=1/2at2=vit)




The Attempt at a Solution


Ok, here's where my problem is, I can never get the time right. I have failed 2 tests and numerous homework assigments because something is wrong. Here's my attempt at it:

8848=1/2(-9.8)t2

I divide both sides by 8848 then square root it.


I ALWAYS get the wrong time and in turn that gives me the wrong distance and in turn I fail the test.
 
Last edited:
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The general idea to the projectile motion problems is:

1. Find time using the relationship of displacement in the y-direction.
2. FInd displacement in the x-direction x= v*t keeping in mind that in the x direction the velocity will be constant.

Now in this particular case i believe that you only have to worry about the first step.

y = .5 gt^2 => t = sqrt(2y/g)
 

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