R(t) is a position vector for a smooth curve C. The acceleration vector is given by
a(t)=d²s/dt² T+K (ds/dt)² N
K = curvature
ds/dt = speed
r(t) = 2t²i+tj+1/2t²k
Find : T(t), N(t), aᵣ aₙ

Question

04-07-2024
Mathematics

Answered

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R(t) is a position vector for a smooth curve C. The acceleration vector is given by
a(t)=d²s/dt² T+K (ds/dt)² N
K = curvature
ds/dt = speed
r(t) = 2t²i+tj+1/2t²k
Find : T(t), N(t), aᵣ aₙ

Sagot :

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R(t) is a position vector for a smooth curve C. The acceleration vector is given by a(t)=d²s/dt² T+K (ds/dt)² N K = curvature ds/dt = speed r(t) = 2t²i+tj+1/2t²kFind : T(t), N(t), aᵣ aₙ

Sagot :

Other Questions

R(t) is a position vector for a smooth curve C. The acceleration vector is given by
a(t)=d²s/dt² T+K (ds/dt)² N
K = curvature
ds/dt = speed
r(t) = 2t²i+tj+1/2t²k
Find : T(t), N(t), aᵣ aₙ