# Tutor profile: Natalie M.

## Questions

### Subject: Pre-Calculus

A projectile is fired directly upward, and its height s in feet after t seconds is given by the function s(t)= -16t^2 + 800t+ 600. Determine the time at which the projectile reaches its maximum height. Determine the maximum height.

To find the time at which the projectile is at its maximum height, use the equation -b/2a. -b/2a = -800/2(-16) = -800/-32 = 25 At 25 seconds, the projectile was at its maximum height. Now to find the maximum height, plug in 25 for t in the original equation: -16t^2 + 800t + 600 . -16(25)^2 + 800(25) + 600 -16(625) + 20000 + 600 -8400 + 20000 + 600 =10600 At 25 seconds, the projectile reached its maximum height of 10600 feet.

### Subject: Psychology

What differentiates anxiety from fear?

Anxiety is future based. It is worry about the future and its uncertainty. Fear, on the other hand, is a response to something happening in the immediate environment. Fear results from any event that causes acute stress (i.e. coming across an angry, stray dog on your walk to school) and is associated with the fight-or-flight response.

### Subject: Algebra

Is x=4 a solution to the linear equation 6x-10=2?

To figure out if 4 is a solution for this equation, we must plug in 4 wherever we see x in: 6x-10=2 6(4)-10=2 24-10=2 14=2 Since 14 does not equal 2, we now know that 4 is not a solution for this equation.

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