Ques. Sita is Driving along straight highway in her car. At time t=0, when sita is moving at 10 ms^-1 in the positive x-direction, she passes a signpost at x=50m. Hence acceleration is function of time:

                    $a=2.0 m{s}^{-2}-\left(\frac{1}{10}m{s}^{-3}\right)t$

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