After T Seconds, an Object Is Moving at the Speed $t e ^ { 1 - t }$

After t seconds, an object is moving at the speed of $t e ^ { 1 - t }$ meters per second. If the object begins at 0 when t = 0, then the distance the object travels as a function of time is expressed $s ( t ) = - e ^ { 1 - t } ( t + 1 )$ .