Question

A particle moves along the curve described below, as t increases from 2 to b. If the particle moves 60 units, give the coordinates of the final position of the particle. r(t) = (12t, 8t^(3/2), 3t^2)

Name: a particle moves along the curve described below as t increases from 2 to b if the particle moves 60 units give the coordinates of the final position of the particle rt 12t 8t32 3t2 01123
Uploaded: 2022-02-11T01:44:51-08:00
Duration: 4 min 51 s
Channel: Joseph Blazer
Description: a particle moves along the curve described below as t increases from 2 to b if the particle moves 60 units give the coordinates of the final position of the particle rt 12t 8t32 3t2 01123

          A particle moves along the curve described below, as t increases from 2 to b. If the particle moves 60 units, give the coordinates of the final position of the particle.
r(t) = (12t, 8t^(3/2), 3t^2)

Added by Alejandro M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Joseph Blazer

02/11/2022

Step 1

Step 1:** Calculate the arc length of the parameterized curve using the given constraints: \[ 6\int_{2}^{b} \sqrt{4 + 4t + t^2} dt = 60 \] ** Show more…

Show all steps

Thanks for your feedback!

A particle moves along the curve described below, as t increases from 2 to b. If the particle moves 60 units, give the coordinates of the final position of the particle. r(t) = (12t, 8t^(3/2), 3t^2)