Grade 12 HWK Help: Acceleration of Car A

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SUMMARY

The discussion centers on the physics problem involving Car A, which accelerates from 100 km/hr to 130 km/hr over 4.5 seconds. The key calculations include determining the acceleration of Car A and the distance it travels during this acceleration. The main challenge arises in part C, where the question asks how far an oncoming car traveling at 110 km/hr must be from Car A when it begins to accelerate to avoid a collision. Warren Chroot interprets this as needing to find the safe distance for the oncoming car to ensure Car A can return to its lane without incident.

PREREQUISITES
  • Understanding of basic kinematics, including acceleration and velocity.
  • Familiarity with the equations of motion, particularly for uniformly accelerated motion.
  • Knowledge of relative velocity concepts in physics.
  • Ability to perform unit conversions, specifically between km/hr and m/s.
NEXT STEPS
  • Calculate the acceleration of Car A using the formula: acceleration = (final velocity - initial velocity) / time.
  • Determine the distance Car A travels during its acceleration using the formula: distance = initial velocity * time + 0.5 * acceleration * time².
  • Analyze the relative motion of Car A and the oncoming car to find the required distance for safe passage.
  • Explore real-world applications of kinematic equations in traffic safety and vehicle dynamics.
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Students studying physics, particularly those focusing on kinematics, as well as educators seeking to clarify concepts related to motion and acceleration in real-world scenarios.

matrix_anki
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Hi guys,

I need some help with part C of the question. I've already done the other 2 parts and shall post my solution to parts a and b soon. But in the meantime if any1 can get me started with c...

Car A traveling at 100km/hr begins to accelerate in order to pass another car traveling at 100 km/hr. Car A accelerates until it reaches a velocity of 130 km/hr which takes 4.5 s.

a) What is the acceleration of car A?
b) At the end of Car A's acceleration, how far in front of the other car is it?
c) If an oncoming car is traveling at 110km/hr, how far would it have to be from car A when it begins its acceleration.
 
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I'm frankly not exactly sure I understand what part c is asking. Is the other car accelerating? What does it mean "how far does it have to be from car A?" How far does it have to be to do what? I don't understand the question.

- Warren
 
Chroot, my interpretation of C is this: car A is just able to get back to its correct side of the road without hitting the oncoming car.
Assuming that, how far from A must this oncoming car (going at a steady 110 km/hr) be at the time A starts accelerating.
 

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