A $2\mathrm{.}5$ mm $-$diameter sphere is charged to $-4\mathrm{.}6$ nC $.$ An electron fired directly at the sphere from far away comes to within $0\mathrm{.}33$ mm of the surface of the target before being reflected.

Part A

What was the electron's initial speed?

Express your answer in meters per second.

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vinitial $=$

nothing

m$/$s

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Part B

At what distance from the surface of the sphere is the electron's speed half of its initial value?

Express your answer in meters.

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d $=$

nothing

m

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Part C

What is the acceleration of the electron at its turning point?

Express your answer in meters per second squared.

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a $=$

nothing

m$/$s$2$

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