Problem Statement:

If a killer whale can accelerate to 9.0 m/s in 3.5 s, how fast would a dolphin need to accelerate to elude it?


Start by looking at the capture time equation:

We notice that if aprey > apred, we will wind up taking the square root of a negative number. Since the square root of a negative number is imaginary, we conclude that there is no capture if aprey > apred. But,

Thus, adolphin > 2.6 m/s2 is required for the dolphin to elude capture.