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Gabe A.

Physics Student at Brown University

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Physics (Newtonian Mechanics)

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Question:

A rubber bounce ball collides elastically with a smooth cement wall at an angle of 38 degrees. At what angle is the ball deflected off the wall?

Gabe A.

Answer:

Because the collision is elastic, momentum is conserved, and the ball bounces off the wall at the same angle (and with the same velocity). So the ball is deflected at an angle of 38 degrees.

Pre-Calculus

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Question:

Take the function $$\frac{1}{x+3}$$. Is this function discontinuous? If so, in what way?

Gabe A.

Answer:

The function $$\frac{1}{x+3}$$ has asymptotic discontinuity, because it approaches -- but never reaches -- the point $$x=-3$$.

Algebra

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Question:

$$x^2+4x=0$$. What is $$x$$?

Gabe A.

Answer:

We see that $$x^2$$ and $$4x$$ have something in common: $$x^2$$ is $$x*x$$, and $$4x$$ is $$4*x$$. So we can cross out one $$x$$ from each term. This leaves us with the expression: $$x+4=0$$. Therefore, $$x=-4$$.

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