Answer to Question #273875 in Calculus for Samson

Question #273875

Evaluate

d^2r/dt^2 at t=0 when

r=(t3+2t)i−3e−2tj+2sin5tk

Expert's answer

"r=(t^3+2t)i\u2212(3e+2t)j+2sin(5t)k\\\\\n\\frac{dr}{dt}=(3t^2+2)i-2j+10cos(5t)k\\\\\n\\frac{d^2r}{dt^2}=(6t)i-0j-50sin(5t)k\\\\\n=6ti-50sin(5t)k"

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