My very tenuous claim to fame is that I used to play doubles with an Olympic gold medal sprinter. Anyway, one day, in the middle of a match, we were both at the back of the court and our opponents played a drop shot which was an equal distance between us ... and I got to it before he did. Obviously not because I was quicker but having played a bit more tennis than him I was able to anticipate the the shot earlier. Good anticipation will allow you more time to get to the ball and prepare for the shot. Watch you opponent's swing - is it a short swing or long swing? A short swing will often result in a short shot. What about the angle of the racket? You opponent's stance? If you are out of position is you opponent going to put it in the space. All these things will give you clues and often give you the extra bit of time you need to play a good shot.