A bird is diving vertically with 2m/s observes a fish coming up with 5m/s. What is the actual speed of the fish?

To determine the actual speed of the fish, we need to apply the concept of relative motion.

Relative motion involves considering the motion of an object with respect to another moving object or observer. In this case, the bird is the observer while the fish is the moving object.

Given that the bird observes the fish ascending with a velocity of 5 m/s, we need to consider the vertical velocity component of the fish relative to the bird. Since the bird is diving vertically with a velocity of 2 m/s, we subtract that value from the observed velocity of the fish.

So, the actual speed of the fish can be calculated by subtracting the bird's velocity from the observed velocity of the fish:

Actual speed of the fish = Observed velocity of the fish - Bird's velocity

Actual speed of the fish = 5 m/s - 2 m/s

Actual speed of the fish = 3 m/s

Therefore, the actual speed of the fish is 3 m/s.