- #1
Remixex
- 57
- 4
Homework Statement
I stumbled upon a problem and i can't establish the ODE to solve it, from there on i believe i can solve the ODEs if they have regular analytical solving methods (translated from Spanish, will sound a bit weird)
Car race, 2 pilots (a and b) participate in a drag race. They begin their movement at rest and then accelerate at a constant rate.
Car b finishes the last quarter of the way in 3 seconds, car a finishes the last third of the way in 4 seconds
Who wins and by how long?
Secondary question, what does "constant rate of acceleration" mean?, Line with or without slope? i believe it's with slope, or else we wouldn't need a differential equation, constant rate should mean constant derivative.
Homework Equations
Differential form of basic Kinematics equations
The Attempt at a Solution
So i get X(t) represents function of distance, X'(t) a function of velocity and X''(t) one of acceleration, also we know that X(0)=0 (therefore zero velocity and acceleration at t=0) for both cars. I believe we need to establish 2 differential equations for each car? I'm not sure
Also, if they accelerate at a constant rate, X''(t) may have the form of mt+c