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MATH / A tennis ball dipped in red paint rolls around on the coordinate plane, so that…

Problem

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problem

A tennis ball dipped in red paint rolls around on the coordinate plane, so that it is at (x,y)=(3t2−9t−5,t2−3t+2)(x,y) = (3t^2 - 9t - 5, t^2 - 3t + 2)at time t,t, where 0≤t≤4.0 \le t \le 4. Find the length of the paint trail left by the tennis ball.
Plain-text mathematical notation (without MathML)
A tennis ball dipped in red paint rolls around on the coordinate plane, so that it is at
(x,y)=(3t²−9t−5,t²−3t+2)at time t, where 0≤t≤4.  Find the length of the paint trail left by the tennis ball.
Original LaTeX notation
A tennis ball dipped in red paint rolls around on the coordinate plane, so that it is at
\[(x,y) = (3t^2 - 9t - 5, t^2 - 3t + 2)\]at time $t,$ where $0 \le t \le 4.$  Find the length of the paint trail left by the tennis ball.

level

Level 5

type

Precalculus

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Source and history

task_id
87aa7429-cff8-570d-90ee-ae561e212a57
task_key
precalculus--test--87aa7429-cff8-570d-90ee-ae561e212a57
task_revision_id
1
config / split
precalculus / test

Official source

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