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Gabe A.
Physics Student at Brown University
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Physics (Newtonian Mechanics)
TutorMe
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
TutorMe
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
TutorMe
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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