Question

How is the acceleration of a car traveling on an elevated air track related to the angle of elevation and the height of elevation?

Answer 1

on a given inclined we know that net force is given by

$F_{net} = - mgsin\theta$

here we know that

$F_{net} = ma$

so here we have

$ma = - mg sin\theta$

$a = - gsin\theta$

so here acceleration depends directly on angle of inclination

now we also know that if height of the inclined is H and its length is L

then we can write

$sin\theta = \frac{H}{L}$

so the acceleration is given as

$a = - g*\frac{H}{L}$

so acceleration also depends directly on height of the inclined plane