Question

A particle travels from ( (4frac{1}{3}, 6, 3) ) to ( (14, 14, 11) ). Its motion is described by the position function ( vec{r}(t) = (frac{t^3}{3}, t^2, 2t) ). a) Find the distance the particle travels [the distance it could have traveled if in a straight line] b) Find the average speed c) Find the displacement. d) List the T,N,B frame for this particle at the halfway (by time) point including curvature and torsion.

          A particle travels from ( (4frac{1}{3}, 6, 3) ) to ( (14, 14, 11) ). Its motion is described by the position function ( vec{r}(t) = (frac{t^3}{3}, t^2, 2t) ).
a) Find the distance the particle travels [the distance it could have traveled if in a straight line]
b) Find the average speed
c) Find the displacement.
d) List the T,N,B frame for this particle at the halfway (by time) point including curvature and torsion.

$A particle travels from ( (4frac13, 6, 3) ) to ( (14, 14, 11) ). Its motion is described by the position function ( vecr(t) = (fract^33, t^2, 2t) ). a) Find the distance the particle travels [the distance it could have traveled if in a straight line] b) Find the average speed c) Find the displacement. d) List the T,N,B frame for this particle at the halfway (by time) point including curvature and torsion.$

Added by Francisca W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

10/15/2022

Step 1

Find the distance the particle travels /the aistance it could have traveled if in a straight line: The particle travels a distance of 14,14,11 meters. If it traveled in a straight line, the distance would be 14,14,10 meters. Show more…

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A particle travels from (4,6,3) to (14,14,11). Its motion is described by the position function F(t) = (t, t^2, 2t). a) Find the distance the particle travels / the distance it could have traveled if in a straight line. b) Find the average speed. c) Find the displacement. d) List the T, N, B frame for this particle at the halfway (by time) point, including curvature and torsion.