Graph of the position function of two particles are shown , where t is measured in seconds.
when is the particle in figure speeding up ? (enter your answer using interval notations )
when is the particle in the figure slowing down ? (enter your answer using interval notations )
Solution
When
dt
dx
>0 , particle is speeding up and when
dt
dx
<0, particle is slowing down ,
So , speeding up for →tϵ(0,1)∪(3,4)
slowing down for →tϵ(1,3)