Answer to Question #116075 in Differential Geometry | Topology for Jflows

Question

2.A stone moves along the path x=t^3+1,y=t^3, z=2t+5, where t denote time. What is the component of (dp)/dt ?
3i+2j-2k
3i-2j+2k
3i+2j+2k
-3i+2j+2k

Answer 1

A stone moves along the path $x=t^3+1, y=t^2, z=2t+5$

$$dx/dt=3t^2, dy/dt=2t, dz/dt=2$$

If $t=1>0, dp/dt=(3, 2, 2)$

3i+2j+2k