How Long to Overtake at Different Speeds?

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SUMMARY

The discussion focuses on calculating the time required for a car traveling at 60 km/h to overtake another car moving at 40 km/h, with an initial distance of 100 meters between their front bumpers. The key concept utilized is relative velocity, where the overtaking car has a relative speed of 20 km/h compared to the slower car. By applying the formula for time, derived from the equation of relative velocity, the solution can be determined as time equals distance divided by speed.

PREREQUISITES
  • Understanding of relative velocity concepts
  • Familiarity with basic kinematic equations
  • Ability to perform unit conversions (e.g., km/h to m/s)
  • Knowledge of algebra for solving equations
NEXT STEPS
  • Calculate time using the formula: time = distance / speed
  • Explore examples of relative velocity in different scenarios
  • Learn about unit conversions between km/h and m/s
  • Study kinematic equations for more complex motion problems
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those focusing on kinematics and relative motion, as well as educators looking for practical examples to illustrate these concepts.

meredith
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Homework Statement


how long does it take a car traveling in the left lane at 60 km/h to overtake another car traveling in the right lane at 40 kn/h when the cars front bumpers are initially 100 m apart?


Homework Equations


relative velocity equations
V ab = v ae + V be


The Attempt at a Solution


i don't really know my work doesn't make sense and there's no sense typing it all in here cause its wrong and i can't even get al the symbols
 
Physics news on Phys.org
Relative to the 40km/h car, the car in the left lane is traveling 20km/h.

So now you have relative velocity, they give you relative distance (100m) solve for time.

Hint:
velocity = distance / time

Hint #2:
Don't forget to convert relative velocity to m/s if you want it in si units.
 

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