# 1. A particle is moving in 3D space, describedas x = 3t3, y = 2t+5, z = t2 Find the velocity vector of the particle as a function of time, using i, j, k notation   Find the magnitude of the velocity as a function of time   Find the magnitude of the velocity when t = 4 sec   Find the acceleration vector as a function of time, using i, j, k notation   Find the magnitude of acceleration when t = 4 sec

Question

1.
A particle is moving in 3D space, describedas x = 3t3, y = 2t+5, z = t2
Find the velocity vector of the particle as a function of time, using
i, j, k notation

Find the magnitude of the velocity as a function of time

Find the magnitude of the velocity when t = 4 sec

Find the acceleration vector as a function of time, using
i, j, k notation

Find the magnitude of acceleration when t = 4 sec