A transverse standing wave is set up on a string that is held fixed at both ends. The amplitude of the standing wave at an antinode is $2\mathrm{.}00$ mmmm and the speed of propagation of transverse waves on the string is $210$ m$/$sm$/$s$.$ The string extends along the xx$-$axis, with one of the fixed ends at xx $=0,$ so that there is a node at xx $=0.$ The smallest value of xx where there is an antinode is xx $=0\mathrm{.}150$ mm$.$

Part A

What is the maximum transverse speed of a point on the string at an antinode?

Express your answer with the appropriate units.

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Part B

What is the maximum transverse speed of a point on the string at xx $=0\mathrm{.}075$ mm$?$