A particle has \(v_{0x}=2\,\mathrm{m\,s^{-1}}\), \(a_x=3\,\mathrm{m\,s^{-2}}\), and \(t=4\,\mathrm{s}\). Find \(v_x\).

A particle starts at \(x_0=0\) with \(v_{0x}=2\,\mathrm{m\,s^{-1}}\) and \(a_x=3\,\mathrm{m\,s^{-2}}\). Find \(x\) at \(t=4\,\mathrm{s}\).

Check the units in \(x=x_0+v_{0x}t+\frac{1}{2}a_xt^2\).

A particle with \(v_0=20\,\mathrm{m\,s^{-1}}\) slows at \(5\,\mathrm{m\,s^{-2}}\). Find the stopping time and stopping distance.

A particle starts from rest and accelerates at \(2\,\mathrm{m\,s^{-2}}\) across \(9\,\mathrm{m}\). Find its final speed.

A particle starts at \(x_0=0\) with \(v_{0x}=6\,\mathrm{m\,s^{-1}}\) and \(a_x=-2\,\mathrm{m\,s^{-2}}\). When does it return to \(x=0\)?

A particle starts from rest with \(a_x=4\,\mathrm{m\,s^{-2}}\) for \(3\,\mathrm{s}\). Find final velocity and displacement.

A particle has \(v_{0x}=-5\,\mathrm{m\,s^{-1}}\) and \(a_x=2\,\mathrm{m\,s^{-2}}\). Find \(v_x\) after \(4\,\mathrm{s}\).

Which constant-acceleration equation is usually best when time is not given?

A particle has \(v_{0x}=3\,\mathrm{m\,s^{-1}}\), \(a_x=2\,\mathrm{m\,s^{-2}}\), and \(\Delta x=20\,\mathrm{m}\). Find final speed.

A particle changes velocity from \(3\,\mathrm{m\,s^{-1}}\) to \(15\,\mathrm{m\,s^{-1}}\) in \(6\,\mathrm{s}\). Find the constant acceleration.

A particle starts with \(v_{0x}=10\,\mathrm{m\,s^{-1}}\) and \(a_x=-2\,\mathrm{m\,s^{-2}}\). When does it stop?

A particle moves with \(v_{0x}=1\,\mathrm{m\,s^{-1}}\), \(a_x=2\,\mathrm{m\,s^{-2}}\), and \(t=5\,\mathrm{s}\). Find displacement.

A particle has \(x_0=-1\,\mathrm{m}\), \(v_{0x}=4\,\mathrm{m\,s^{-1}}\), \(a_x=-3\,\mathrm{m\,s^{-2}}\), and \(t=2\,\mathrm{s}\). Find \(x\).

A particle slows from \(10\,\mathrm{m\,s^{-1}}\) to \(2\,\mathrm{m\,s^{-1}}\) with \(a_x=-2\,\mathrm{m\,s^{-2}}\). Find the displacement.

When is the standard constant-acceleration model valid?

A particle starts from rest and travels \(25\,\mathrm{m}\) with \(a_x=2\,\mathrm{m\,s^{-2}}\). Find the time.

For constant acceleration, a particle changes from \(4\,\mathrm{m\,s^{-1}}\) to \(12\,\mathrm{m\,s^{-1}}\) in \(5\,\mathrm{s}\). Find displacement.

A particle has \(x_0=5\,\mathrm{m}\), \(v_{0x}=-2\,\mathrm{m\,s^{-1}}\), \(a_x=1\,\mathrm{m\,s^{-2}}\), and \(t=6\,\mathrm{s}\). Find \(x\).

If \(v_x>0\) and \(a_x<0\), what happens to speed at that instant?

A particle starts at \(x=0\) with \(v_{0x}=18\,\mathrm{m\,s^{-1}}\) and \(a_x=-3\,\mathrm{m\,s^{-2}}\). Find when it returns to \(x=0\) and its velocity then.

A train moving at \(24\,\mathrm{m\,s^{-1}}\) brakes uniformly and stops after \(96\,\mathrm{m}\). Find its acceleration and stopping time.