Finding time given acceleration and velocity

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SUMMARY

The discussion centers on solving a physics problem involving two particles with different initial velocities and accelerations. Particle A has an initial velocity of 14.3 m/s and an acceleration of 4.15 m/s², while Particle B starts with a velocity of 7.85 m/s and an acceleration of 2.68 m/s², with a 46 m head start. To determine when Particle A will pass Particle B, the kinematic equations for constant acceleration must be applied, specifically using the formula for displacement over time.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Knowledge of initial velocity and acceleration concepts
  • Ability to manipulate algebraic equations
  • Familiarity with units of measurement in physics (m/s, m/s²)
NEXT STEPS
  • Study the kinematic equations, focusing on displacement and time calculations
  • Learn how to set up equations for motion with constant acceleration
  • Practice solving problems involving multiple objects with different velocities and accelerations
  • Explore graphical representations of motion to visualize particle interactions
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in solving motion-related problems involving acceleration and velocity.

stacerho
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I am having troubles with a physics question. I can't figure out what formula to use to solve the following question:

Particle A passes a point with an initial velocity of 14.3 m/s and an acceleration of 4.15 m/x^2. Particle B has a 46 m head start at 7.85 m/s with an acceleration of 2.68 m/s^2. At what time will A pass B? Answer in units of s.

Any suggestions.
 
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Have you come across the kinematic equations for constant acceleration? Which one of these do you think you should use, considering the variables you are given?
 

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