Acceleration and velocity when time and distance are known

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SUMMARY

The discussion centers on a physics problem involving a car's acceleration and velocity over a distance of 3.84 km with a constant acceleration of 4.50 m/s². The total time for the journey is 1 minute and 36 seconds. Participants emphasize the importance of deriving formulas for the acceleration phase and suggest that the student should attempt to solve the problem independently before seeking help. Key formulas for calculating time, distance, and final velocity are essential for solving the problem.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of constant acceleration concepts
  • Familiarity with unit conversions (e.g., minutes to seconds)
  • Ability to derive formulas for motion analysis
NEXT STEPS
  • Learn how to apply the kinematic equation: \(d = vt + \frac{1}{2}at^2\)
  • Study the relationship between acceleration, time, and final velocity using \(v = u + at\)
  • Explore unit conversion techniques for time and distance in physics problems
  • Practice solving similar problems involving constant acceleration and distance
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering kinematic equations and motion analysis in classical mechanics.

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A physics student is taking a car for a joy ride on a long, empty and perfectly
straight Saskatchewan highway. At the beginning of the joy ride the student has the
car accelerate from rest to some top speed with a (constant) acceleration of 4:50 m=s2
and then maintains that top speed to the end of the ride. The total time taken from
the start of the joy ride to its end is 1:36 minutes and the total distance covered is
3:84 km.
(a) What was the time elapsed during the acceleration phase of the car's motion?
(b) What distance did the car cover during the acceleration phase of its motion?
(c) What was the top speed reached by the car?

Please help. tell me which dervived formula you used!
 
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Welcome to Physics Forums !

Firstly, this should be moved to homework help section, because it seems like a hometask problem.
Secondly, you should post your ideas and approach to the solution of the problem, because its a lot better if you can solve it yourself with a little bit of help from us rather than we giving you the answer right away.

It actually took me a tad to realize how to solve this problem. But once you put the pieces together, the problem solves beautifully. Thats why I would like you to try yourself at first.
 

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