Kinesins and Dyneins

Kinesins can step forward at a rate of $\sim 1 \mu m/s$. The longest cell in the human body is a nerve cell whose axon stretches down the length of your leg, about $1 m$. How long does it take for vesicles carrying molecular cargo to be shuttled by active kinesin-driven transport from the cell body to the tip of the axon? How long would it take for a typical protein (diffusion constant $D\sim 20 \mu m^2/s$) to diffuse over the length of that axon? Assume that the mean squared distance travelled by diffusion over time $t$ is $4Dt$.