Question

The cheetah is the fastest land animal, able to reach quickly a maximum speed of 31.0 m/s. But it is able to maintain this speed for only about 10.0 s. Suppose that the cheetah stalks a prey that has a maximum speed of 25.0 m/s, but is able to maintain this speed for much longer than 10.0 s. If it is to catch its prey, what is the maximum distance the cheetah can be from the prey when the chase begins?

Answer 1

60 m

Step-by-step explanation:

Given that a cheetah is able to reach quickly a maximum speed of 31.0 m/s. But it is able to maintain this speed for only about 10.0 s.

The distance = speed × time

The distance = 31 × 10

The distance = 310 m

Suppose that the cheetah stalks a prey that has a maximum speed of 25.0 m/s, but is able to maintain this speed for much longer than 10.0 s.

The prey distance = 25 × 10

Distance = 250m

If it is to catch its prey, the maximum distance the cheetah can be from the prey when the chase begins must be:

Maximum distance = 310 - 250

Maximum distance = 60 m