The graph of $g$ includes point $(2,6)$ and the slope of the tangent line to $g$ at any point $x$ is given by the expression $3x+4.$ Find $g(-2).$

A coin is dropped from an $850$ foot building. The velocity of the coin is $v(t)=-16t.$ Find both the position function and acceleration function.

A particle moves along the x $-$axis with a velocity of $v(t)=1-sint.$ At $t=$ seconds the position of the particle is $$ inches. What is the position of the particle at $t=\frac{3}{2}?$

Answer Bank: $44,-10,-40,\frac{3}{2}+1,46$