An object moves along the x axis according to the equation x(t) ! (3.00t2 # 2.00t % 3.00) m. Determine (a) the average speed between t ! 2.00 s and t ! 3.00 s, (b) the instantaneous speed at t ! 2.00 s and at t ! 3.00 s, (c) the average acceleration between t ! 2.00 s and t ! 3.00 s, and (d) the instantaneous acceleration at t ! 2.00 s and t ! 3.00 s.

Question

noelgreco · Answer

Take the 1st and 2nd derivatives of the position equation to get equations for instantaneous velocity and acceleration.

What do you get for v(t) and a(t)?