Patrick (my son) walks out of the house and sees the schoolbus about
to pull away. He runs at it from behind at 4 meters/second. When he
is twenty meters behind the still-open schoolbus door, the bus starts
to pull away at an acceleration of 0.5 m/sec
.
Does Patrick catch the bus before it pulls away, avoiding the disaster of having DAD drive him to school? If so, how far has the bus gone when he reaches it?