You are traveling back to school on a
two-lane country highway. For the last 10 minutes you have been
stuck behind a truck poking along at 45 mph (20 m/s), so you've been
playing it safe and staying 10
m behind the truck. Finally you come out of winding through some
hills and reach straight section with a 200 m long passing zone. Your estimation is that your car could at
least accelerate at a rate of 1.5 m/s2. Can you
make it if you keep the same speed? The
truck ahead of you is 8 m long, your car 6 m long, and you need to be
at least
5 m in front to safely pull back over.