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Sita is driving along a staight highway ...

Sita is driving along a staight highway in her car. At time `t=0`, when Sita is moving at `10ms^-1` in the positive x-direction, she passes a signpost at `x=50m`. Here acceleration is a function of time:
`a=2.0ms^-2-(1/10ms^-3)t`
a. Derive expressions for her velocity and position as functions of time.
b. At what time is her velocity greatest?
c. What is the maximum velocity?
d. Where is the car when it reaches the maximum velocity?

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