How to Solve Vertical Acceleration Problems

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SUMMARY

The discussion focuses on solving vertical acceleration problems using the equation d = vt + 1/2at². A rock is thrown vertically with an initial velocity of 20 m/s from a height of 42 m. Participants confirm the use of the correct formula and emphasize the importance of labeling known and unknown variables, isolating variables through algebra, and considering the direction of motion. The hints provided guide users to approach the problem systematically to find the time the rock remains in the air.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = vt + 1/2at²
  • Knowledge of initial and final velocity concepts in vertical motion
  • Familiarity with acceleration due to gravity (approximately 9.81 m/s²)
  • Basic algebra skills for isolating variables in equations
NEXT STEPS
  • Practice solving vertical motion problems using kinematic equations
  • Learn about the effects of air resistance on projectile motion
  • Explore the concept of free fall and its equations
  • Study the relationship between time, velocity, and displacement in vertical motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding vertical motion and acceleration problems.

Iceclover
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Problem:
a rock is thrown vertically with a velocity of 20m/s from the edge of a bridge 42m above the river. how long does the rock stay in the air.

Equation:
d=vt+1/2at^2

Atempt at solution:
I've actually had a couple of attempts and i came up with a bunch of crazy things. I just need a hint, or to know if I am using the correct formula.
 
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Iceclover, please post in the homework forums in future.

Your equation for this question is correct. Please show your work, and we will be able to help.
 
A few good helpful hints is to do this first; label what you have and what you don't have and what you're trying to find. Then look at the equations you have; use algebra to isolate a variable and these types of problems will come a lot more easily.

Using Y's since this is acting in the Y direction, not the X direction. Also, since it's acting in the Y direction there's a force at work here =). Think about it.

Y (final position):
Yo (initial position):
Vy (final velocity):
Vyo (initial velocity):
a (acceleration):
t (time):

Hint: Your starting position will usually be 0 m. Unless told otherwise through the problem. Also, you can use a string of equations to solve for things =). Such as isolate the t, and then use that t for another equation =).
 
Last edited:

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