1. If the position of a particle is given by the equation x(t) = 10m + 9 m/s t + 4 m/s³t³ what equation gives its velocity as a function of time?

(a) v(t) = 10 mt+ 9 m/st²+ 4 m/s³t⁴

(b) v(t) = 10 m/s²t+ 9 m/s³t²+ 4 m/s⁵t⁴

(c) v(t) = 10 m/s + 4 m/s³t²

(d) v(t) = 9 m/s+ 4 m/s³t²

(e) v(t) = 9 m/s+ 12 m/s³t²

2. If the acceleration of a particle is given by the equation a(t) = 2 m/s² + 3 m/s⁴t² which equation(s) could possibly give the velocity of the particle?

(a)v(t) = 6 m/s⁴t

(b)v(t) =2 m/s² +6 m/s⁴t

(c)v(t) = -10 m/s + 2 m/s²t+ 1 m/s⁴t³

(d)v(t) = 10 m/s + 2 m/s²t+ 3 m/s⁴t³

(e)a or b

(f) d or e

3. If you drop a piano from the third floor of a building, and measure its velocity v₁upon hitting the ground, and then drop it from the ninth floor of a building, and measure its new velocity v₂upon hitting the ground, how has the final velocity changed?

a. Cut in one third

b. Times 1.73

c. Doubled

d. Tripled

e. Quadrupled