Question

Please help me find the minimum speed of the particle and its location when it has this speed.

Answer 1

\[r(t)=12\sqrt{t} i+t ^{\frac{ 3 }{ 2 }}j\]

Answer 2

t>0

Answer 3

i found the velocity vector and the equation for speed @ t

Answer 4

\[v(t)=\frac{ 6 }{ \sqrt{t} }i+\frac{ 3 }{ 2 }\sqrt{t}j\]

Answer 5

speed @ t:
\[\sqrt{\frac{ 36 }{ t }+\frac{ 9 }{ 4 }t}\]

Answer 6

nvm i got it