A particle has position $s(t)=2t^3+18t^2+48t$. On which set is it SPEEDING UP?

At a certain instant a particle has velocity $3$ and acceleration $-8$. Is it speeding up or slowing down?

A particle has position $s(t)=2t^3+6t^2-18t$. On which set is it SPEEDING UP?

A particle has position $s(t)=2t^3-3t^2$ at time $t$. Is it speeding up or slowing down at $t=3$?

At a certain instant a particle has velocity $-5$ and acceleration $-2$. Is it speeding up or slowing down?

The figure shows a particle's VELOCITY $v$ against time. Is the particle speeding up or slowing down at $t=2$?

A particle has position $s(t)=2t^3-3t^2$ at time $t$. Is it speeding up or slowing down at $t=5$?

A particle has position $s(t)=2t^3+6t^2-48t$. On which set is it SPEEDING UP?

A particle has position $s(t)=2t^3+12t^2+18t$. On which set is it SPEEDING UP?

A particle has position $s(t)=2t^3-54t$. On which set is it SPEEDING UP?

The figure shows a particle's VELOCITY $v$ against time. Is the particle speeding up or slowing down at $t=-4$?

A particle has position $s(t)=2t^3-24t$ at time $t$. Is it speeding up or slowing down at $t=5$?

At a certain instant a particle has velocity $5$ and acceleration $-6$. Is it speeding up or slowing down?

A particle has position $s(t)=2t^3-15t^2+36t$ at time $t$. Is it speeding up or slowing down at $t=1$?

A student argues that a particle with velocity $-3$ and acceleration $-5$ is slowing down, because the acceleration is negative. Is the argument correct?

A particle has position $s(t)=2t^3+12t^2$ at time $t$. Is it speeding up or slowing down at $t=4$?

At a certain instant a particle has velocity $4$ and acceleration $-7$. Is it speeding up or slowing down?

A particle has position $s(t)=2t^3-21t^2+72t$ at time $t$. Is it speeding up or slowing down at $t=5$?

A particle has position $s(t)=2t^3-6t^2-18t$ at time $t$. Is it speeding up or slowing down at $t=2$?

At a certain instant a particle has velocity $-4$ and acceleration $-3$. Is it speeding up or slowing down?

A particle has position $s(t)=2t^3-9t^2+12t$ at time $t$. Is it speeding up or slowing down at $t=0$?

A student argues that a particle with velocity $-7$ and acceleration $-8$ is slowing down, because the acceleration is negative. Is the argument correct?

At a certain instant a particle has velocity $-6$ and acceleration $6$. Is it speeding up or slowing down?

The figure shows a particle's VELOCITY $v$ against time. Is the particle speeding up or slowing down at $t=-1$?