PHYSiCS NEED HELP please show work

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SUMMARY

The discussion focuses on a physics problem involving two race cars with different accelerations. The professional race-car driver accelerates at +5.9 m/s² while the stock car accelerates at +3.6 m/s², starting 1 second earlier. To solve the problem, one must calculate the time it takes for the sports car to overtake the stock car, the distance traveled by both cars until they are side by side, and their respective velocities at that moment. Key equations of motion are essential for deriving these values.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration and its impact on velocity
  • Ability to solve quadratic equations
  • Familiarity with concepts of relative motion
NEXT STEPS
  • Study kinematic equations for uniformly accelerated motion
  • Learn how to set up and solve equations involving relative motion
  • Practice problems involving multiple objects with different starting times and accelerations
  • Explore graphical representations of motion to visualize acceleration and displacement
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling problems involving kinematics and acceleration, as well as educators looking for examples to illustrate these concepts.

bsmith8808
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PHYSiCS NEED HELP ASAP! please show work

Homework Statement



A professional race-car driver buys a car that can accelerate at +5.9m/s². The racer decide to race against another driver in a souped-up stock car. Both start from rest, but the stock-car driver leaves 1.0 s before the driver of the sports car. The stock car moves with a constant acceleration of +3.6 m/s².
a. Find the time it takes the sports-car driver to overtake the stock- car driver.
b. Find the distance the two drivers travel before they are side by side.
c. Find the velocities of both cars at the instant they are side by side.


Homework Equations





The Attempt at a Solution

 
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Nobody is going to do your homework for you. People may assist with it, but only if you make an attempt at it. What have you tried?
 


I have made numerous attempts, I don't understand how to find the time when you don't know the final velocity or the displacement.
 

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