Velocity changes from \(-3\,\mathrm{m\,s^{-1}}\) to \(9\,\mathrm{m\,s^{-1}}\) in \(4\,\mathrm{s}\). Find average acceleration.

For \(v_x(t)=2t+5\), find \(a_x\).

A velocity-time graph is horizontal. What is the acceleration?

For \(x(t)=t^2\), find \(a_x\).

For \(v_x(t)=12-4t\), find \(a_x\). Is the particle speeding up or slowing down at \(t=1\,\mathrm{s}\)?

Velocity changes from \(-10\,\mathrm{m\,s^{-1}}\) to \(-2\,\mathrm{m\,s^{-1}}\) in \(4\,\mathrm{s}\). Find average acceleration and say whether speed increased.

A particle has \(v_x=-6\,\mathrm{m\,s^{-1}}\) and \(a_x=-2\,\mathrm{m\,s^{-2}}\). Is its speed increasing or decreasing?

What are the SI units of acceleration?

On a velocity-time graph, what does acceleration represent?

For \(v_x(t)=6t-t^2\), find \(a_x(t)\).

Velocity is \(5\,\mathrm{m\,s^{-1}}\) at the start and \(5\,\mathrm{m\,s^{-1}}\) at the end of a \(10\,\mathrm{s}\) interval. Find average acceleration.

For \(v_x(t)=3t^2-2t\), find \(a_x\) at \(t=1\,\mathrm{s}\).

If \(v_x(t)=8\), what is \(a_x\)?

Velocity changes by \(18\,\mathrm{m\,s^{-1}}\) over \(6\,\mathrm{s}\). Find average acceleration.

For \(x(t)=t^3\), find \(a_x\) at \(t=2\,\mathrm{s}\).

Does negative acceleration always mean the object is slowing down?

If \(a_x=0\), what can be said about velocity in one-dimensional motion?

A particle has \(v_i=15\,\mathrm{m\,s^{-1}}\) and \(a_x=-3\,\mathrm{m\,s^{-2}}\) for \(4\,\mathrm{s}\). Find \(v_f\).

A particle has \(a_x=-4\,\mathrm{m\,s^{-2}}\) for \(5\,\mathrm{s}\). Find its velocity change.

For \(x(t)=5+2t-t^2\), find \(a_x\).

A particle has \(v_x(t)=t^3-6t^2+8t\). Find the intervals where the particle is speeding up for \(t\geq0\).

A velocity changes uniformly from \(-12\,\mathrm{m\,s^{-1}}\) to \(6\,\mathrm{m\,s^{-1}}\) in \(6\,\mathrm{s}\). Find the acceleration, the time when the particle stops, and the displacement over the interval.