path r(t) = (t)i + (t²-7) j describes motion on the parabola y=x²-7. Find the particle's velocity and acceleration vectors at t=5, and sketch them as vectors on the curve. velocity vector at t=5 is v(5)= i+ plify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) acceleration vector at t=5 is a(5)= (i+i plify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) ose the correct sketch for the particle's velocity and acceleration at t=5. OB. L GIID Q V OC.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17RE
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The path r(t)= (t)i + (²-7) j describes motion on the parabola y=x²-7. Find the particle's velocity and acceleration vectors at t=5, and sketch them as vectors on the curve.
GIB
The velocity vector at t=5 is v(5)=
i+
j.
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
The acceleration vector at t=5 is a(5)= (
i+
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Choose the correct sketch for the particle's velocity and acceleration at t= 5.
OA
OB.
Q
du
OC.
Transcribed Image Text:The path r(t)= (t)i + (²-7) j describes motion on the parabola y=x²-7. Find the particle's velocity and acceleration vectors at t=5, and sketch them as vectors on the curve. GIB The velocity vector at t=5 is v(5)= i+ j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t=5 is a(5)= ( i+ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Choose the correct sketch for the particle's velocity and acceleration at t= 5. OA OB. Q du OC.
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