(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A Porsche challenges a Honda to a 400-m race. Because the Porsche's acceleration of 3.5m/s^{2}is larger than the Honda's 3.0m/s^{2}, the Honda gets a 50-m head start. Both cars start accelerating at the same instant. Who wins?

3. The attempt at a solution

The only thing I'm not sure about is how to get the velocity from a given acceleration. How do you figure it out mathematically?

Edit: So basically I set up both things as a function of time, and I integrated.

Porsche: a(t) = 3.5t

Porsche: v(t) = (3.5/2)t^2

Porsche: s(t) = (3.5/6)t^3

Honda: a(t) = 3t

Honda: v(t) = (3/2)t^2

Honda: s(t) = (1/2)t^3 + 50

Using these formulas, I calculated that the Porsche wins! Does it look correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Porsche challenges a Honda acceleration

**Physics Forums | Science Articles, Homework Help, Discussion**