Aforce f s applied to an object of mass m1 produces an acceleration of 3.00 m/s2. the same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s2. (a) what is the value of the ratio m1/m2? (b) if m1 and m2 are combined into one object, find its acceleration under the action of the force f s .

Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?