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Can one calculate the speed at which the car is traveling by only measuring the angle...

Can one calculate the speed at which the car is traveling by only measuring the angle of the streaks from the vertical axis?

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Answer #1

No. By only measuring the angle of the straks from the vertical axis, you cannot determine the speed of the car.

Consider the motion of a car in an inclined plane. Suppose theta is the angle of the slope.

In the case when the slope is frictionless, the acceleration of the car towards the down side of the slope is given by -

a = g*sin theta

suppose the car starts from rest, then its speed after time t can be known using the expression -

v = u + a*t

put u = 0

so, v = (g*sin theta)*t

so the second variable we should have time t, for knowing the speed of the car.

Therefore, by only knowing the slope theta, we cannot determine the speed of the car.

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