Speedometer readings for a vehicle $($in motion$)$ at $11-$second intervals are given in the table.

$\backslash$table$[[t($sec$),v($ft$/$s$)],[0,29],[11,45],[22,32],[33,43],[44,40],[55,38]]$

Estimate the distance traveled by the vehicle during this $55$second period using the velocities at the beginning of the time intervals.

distance traveled ~~

feet

Give another estimate using the velocities at the end of the time periods.

distance traveled ~~

feet