Question about squaring velocity

Thread starter ZenOne
Start date Dec 16, 2010
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Velocity

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In the equation v^2 = V0^2 + 2a(x), squaring the velocities V and V0 results in positive values regardless of their initial signs. The negative sign does not affect the outcome of the squared terms, as squaring any real number, including negative values, yields a positive result. Therefore, both V^2 and V0^2 will always be positive quantities. This confirms that the negative sign is irrelevant in the context of squaring these velocities. Understanding this principle is essential for correctly applying the equation in physics problems.

Dec 16, 2010

ZenOne

When using the equation v^2=V0^2 + 2a (x)...

If V or V0 is negative, does it become positive after squaring? (Basically, is the negative sign in the bracket or outside)?

Thanks in advance.

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Dec 16, 2010

Vagn

The velocities will be positive when squared.

Dec 17, 2010

Doc Al

Mentor

ZenOne said:

If V or V0 is negative, does it become positive after squaring?

V^2 and V0^2 will be positive quantities even when V or V0 is negative.

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