A particle's velocity is described by the equation:

 

 v(t) = x'(t) = 3 t2 − 30 t − 1

 

knowing the position of the particle when t = 0 is 0; x(0) = 0

 

6 options:

 

                          

	x'(-4)
	position when it is turning around from traveling down to traveling up
	x'(4)
	time when acceleration is zero
	time where position turns around from traveling down to traveling up
	time when position is 0
	x''(4)
	x''(-4)
	position when it is turning around from traveling up to traveling down
	time where position turns around from traveling up to traveling down
	x(4)
	minimum velocity
	x(-4)