When Will Two Objects With Different Speeds and Accelerations Meet?

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SUMMARY

The discussion focuses on determining the meeting time of two objects with different speeds and accelerations. The first object has an initial speed of 5 m/s and an acceleration of 0.5 m/s², while the second object starts 4 seconds later with a speed of 2 m/s and an acceleration of 1 m/s². The correct approach to solve the problem involves using the equation for distance under constant acceleration: s = vit + at²/2. The final answer for when the two objects meet is 28 seconds.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Familiarity with initial velocity and acceleration concepts
  • Basic algebra skills for solving equations
  • Knowledge of time intervals in motion problems
NEXT STEPS
  • Study the kinematic equation s = vit + at²/2 in detail
  • Explore examples of motion problems involving multiple objects
  • Learn about relative motion and how it applies to objects starting at different times
  • Review the PF Library on constant acceleration for additional resources
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Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators looking for problem-solving strategies in teaching acceleration and speed concepts.

sese
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Homework Statement


Two objects start from same point whit 4s one after another traveling same direction whit
speed01 =5 m/s ; a01=0.5 m/s2
and
speed02=2 m/s ; a 02=1 m/22

[tex]\tau[/tex]=4s

Find at what time the objects meet?

Answer:28 s

Homework Equations


d01=S01*t01*(a01+t012)/2
d02=S02*t02*(a02+t022)/2
(I think!)

The Attempt at a Solution


t01=S01/a01
t02=S02/a02

After fiding the distance from equation's i get stuck
 
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Welcome to PF!

Hi sese! Welcome to PF! :smile:

(btw, we usually use v or u for speed, not s, and s for distance, not d :wink:)
sese said:

Homework Equations


d01=S01*t01*(a01+t012)/2
d02=S02*t02*(a02+t022)/2

No, those equations are wrong.

You need s = vit + at2/2.

See the PF Library on constant acceleration :wink:
 

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