Easy applied Calculus Problem to Motion

[maxhk]

Easy applied Calculus Problem

An automobile is traveling in a straight line at a velocity of v0 feet per second. The driver suddenly applies the brakes, and the car stopes in T seconds after traveling S feet. If the brakes produce a constant negative accelaration of -a0 feet/s^2, find formulas for T and S in terms of v0 and a0.

 

[galactus]

The stopping distance can be found from the formula \(\displaystyle S=\frac{V_{0}^{2}}{2a}\).

But, if you want to derive them, see here:

http://physics.info/motion-equations/