Two students push a 20.0\,\text{kg}20.0kg20, point, 0, start text, k, g, end text desk from opposing directions. One student pushes with a force of 5.0\,\text{N}5.0N5, point, 0, start text, N, end text to the left, and the other student pushes with a force of 2.0\,\text{N}2.0N2, point, 0, start text, N, end text to the right. Calculate the horizontal acceleration of the desk.

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?