# Solving equations of motion Given an acceleration vector, initial velocity ⟨u0,v0,w0⟩, and initial position ⟨x0,y0,z0⟩,...

sagnuhh

## Answered question

2021-01-02

Solving equations of motion Given an acceleration vector, initial velocity $\u27e8{u}_{0},{v}_{0},{w}_{0}\u27e9$, and initial position $\u27e8{x}_{0},{y}_{0},{z}_{0}\u27e9$, find the velocity and position vectors, for $t\ge 0$.

$a\left(t\right)=\u27e81,t,4t\u27e9,\u27e8{u}_{0},{v}_{0},{w}_{0}\u27e9=\u27e820,0,0\u27e9,\u27e8{x}_{0},{y}_{0},{z}_{0}\u27e9=\u27e80,0,0\u27e9$