Q: Why do you fall in the forward direction when a moving bus applies brakes to stop and fall backward when it accelerates from rest ?
Sol: When a moving bus brakes to a stop, out feet come to rest with the bus. But upper part of our body continues to move forward on account of inertia of motion. That is why we tend to fall in the forward direction.
However, when the bus accelerates from rest, lower part of our body moves with the bus. The upper part of the body tries to maintain itself at rest on account of inertia of rest. Therefore, we tend to fall backwards.