Distance travelled with constant velocity or constant acceleration

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SUMMARY

The discussion focuses on a cyclist traveling at a constant speed of 3 m/s for 20 seconds before decelerating at a rate of 0.2 m/s² until coming to a stop at a traffic light. The key calculations include determining the distance traveled during both the constant speed phase and the deceleration phase, as well as the total time taken to reach the traffic light. The cyclist covers a distance of 60 meters before beginning to decelerate, and the total time taken to stop is calculated to be 30 seconds.

PREREQUISITES
  • Understanding of kinematic equations for constant velocity and acceleration
  • Familiarity with basic physics concepts such as speed, distance, and acceleration
  • Ability to perform calculations involving units of measurement (m/s, m/s²)
  • Knowledge of how to apply the formula for average speed
NEXT STEPS
  • Study kinematic equations for uniformly accelerated motion
  • Learn how to calculate average speed in different scenarios
  • Explore real-world applications of constant acceleration in cycling or automotive contexts
  • Practice solving similar problems involving deceleration and distance calculations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding motion dynamics, particularly in scenarios involving constant velocity and acceleration.

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Homework Statement


A cyclist is traveling along a straight horizontal road. as she passes a bus stop she sees a red traffic light ahead of her. She continues to travel with a constand speed of 3 ms^-1 for 20 seconds and then decelerates at a constant rate of 0.2ns^-2 until coming to rest at the traffic light


Homework Equations



a) calculate the distance between the bus stop and the traffic light

b) calculate the time the cyclist takes to travel from the bus stop to the traffic light

c) calculate the average speed of the cyclist between the bus stop and the traffic light

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