Q1 — Prac

Question 1 of 19 | 성복고 심화탐구 · ●●●○○

수직선 위를 움직이는 점 P의 시각 $t$ $(t \geq 0)$에서의 속도 $v(t)$가 $v(t) = t^3 - a t$이다. 시각 $t = 2$에서 점 P의 위치가 시각 $t = 4$에서 점 P의 위치와 같을 때, 상수 $a$의 값은?

$2$

$4$

$6$

$8$

$10$

Reference Sheet

Area & Circumference

Circle$A = \pi r^2$, $C = 2\pi r$

Rectangle$A = lw$

Triangle$A = \tfrac{1}{2}bh$

Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$

Cylinder$V = \pi r^2 h$

Sphere$V = \tfrac{4}{3}\pi r^3$

Cone$V = \tfrac{1}{3}\pi r^2 h$

Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$

30-60-90sides: $1,\, \sqrt{3},\, 2$

45-45-90sides: $1,\, 1,\, \sqrt{2}$

Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$

Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

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