Beginner PHYSIC problem HELP nneded

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SUMMARY

The problem involves two train cars on a straight track, where one car accelerates at 2.4 m/s² from rest and the other moves at a constant speed of 4.0 m/s, initially 29 meters apart. To determine the collision point and time, kinematic equations must be applied. The initial attempt yielded a collision time of 8.743 seconds, but further clarification on the calculations is necessary to verify the accuracy of this result.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of constant acceleration and uniform motion
  • Ability to solve quadratic equations
  • Familiarity with basic physics concepts such as distance, speed, and acceleration
NEXT STEPS
  • Review kinematic equations for motion with constant acceleration
  • Practice solving problems involving relative motion
  • Learn how to set up and solve quadratic equations
  • Explore graphical representations of motion to visualize collision scenarios
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Students studying physics, particularly those tackling kinematics problems, and anyone seeking to improve their problem-solving skills in motion-related scenarios.

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Homework Statement



Two train cars are on a straight, horizontal track. One car starts at rest and is put in motion with a constant acceleration of 2.4 m/s2. This car moves toward a second car that is 29 m away and moving at a constant speed of 4.0 m/s.

a.) where will they collide
b.) how long will it take to collide

Homework Equations





The Attempt at a Solution


My original plan to solve this problem was to set up two separate Kinematics equaitons .
I also put a negative sign infront of - 4.0m/s. My answer came out like 8.743 s .

ANY HELP OR ANY ADVICE WOULD BE GREAT
 
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Yes, the kinematics equations are the way to solve this. Can you show your work? We can't really tell if your answer is right or not unless you show how you got it.
 

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