An accelerometer is a sensor that measures the acceleration of an object. The acceleration data is sampled by a computer every $1$ second. A set of $5$ consecutive data samples is shown in the table below. First estimate the velocity at each sample using the acceleration data. Then estimate the position using the estimated velocity at each sample. Assume initial velocity and position were $0\frac{m}{s}$ and $10$ m $,$ respectively, at the time of the first sample.

$\backslash$table$[[$sample $($#$),$acceleration $(\frac{m}{s^2}),$velocity $(\frac{m}{s}),$position $(m)$