What is the Velocity of a Car with Constant Acceleration?

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SUMMARY

The discussion focuses on calculating the final velocity (VB) of a car traveling with constant acceleration of 7.45 m/s² over a distance of 81.4 meters in 5.89 seconds. Participants suggest using the kinematic equation d = Vi*t + 0.5*a*t² to find the initial velocity (Vi) since it is the only unknown in the equation. The conversation emphasizes the importance of identifying the correct variables and equations to solve for the final velocity at checkpoint B.

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  • Understanding of kinematic equations in physics
  • Knowledge of constant acceleration concepts
  • Ability to manipulate algebraic equations
  • Familiarity with basic physics terminology such as distance, time, and velocity
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  • Study the kinematic equation d = Vi*t + 0.5*a*t² in detail
  • Learn how to derive final velocity using initial velocity and acceleration
  • Explore other kinematic equations for different scenarios
  • Practice problems involving constant acceleration and varying distances
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This discussion is beneficial for physics students, educators, and anyone interested in mastering the principles of motion under constant acceleration.

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Homework Statement


Part 1 Consider a car which is traveling along a straight road with constant acceleration a. There are two checkpoints, A and B , which are a distance 81.4 m apart. The time it takes for the car to travel from A to B is 5.89 s.

Part 2 Find the velocity VB for the case where the acceleration is 7.45 m/s^2.

The Attempt at a Solution


acceleration multiplied by the final time does not give me the answer
 
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What is VB? Is that supposed to be the velocity once it reaches checkpoint B?
 
yea my browser won't load the functions so it should read V(sub)B which is the velocity once it reaches checkpoint B.
 
Perhaps start by finding what the velocity at checkpoint A is.
 
how would you go by doing that?
 
anyone? I have no clue how to find the velocity at either checkpoints with the given data
 
Take A to be the initial point, time = 0.
Then for the trip to B you know d, t, and a. Don't know Vi.
You could make progress with d = Vi*t + 0.5a*t^2 which has only one unknown.
There is another formula like that with a Vf instead of a Vi which would get you to the answer in one step.
 

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