The Cheetah is the fastest land animal and can achieve a peak velocity of 100 km/h in a distance of less than 500 meters. If a cheetah spots its prey at a distance of 100 meters & the average velocity attained by it is 90 km/h, the minimum time to catch its prey is ____ s.

The Cheetah is the fastest land animal and can achieve a peak velocity of

100 km / h

in a distance of fewer than

500 meters

. If a cheetah spots its prey at a distance of

100 meters

& the average velocity attained by it is

90 km / h

, the minimum time to catch its prey is

4 s

.
We know that

Average velocity = \frac{total displacement}{total time}

Given,

Average velocity = 90 km / h

\Rightarrow = \frac{90 \times 1000 m}{60 \times 60 s}

\Rightarrow = 25 m / s

Displacement = 100 m

Time taken to get its prey = \frac{displacement}{average velocity}

\Rightarrow

= \frac{100 m}{25 m / s}

\Rightarrow

= 4 s

Time taken to get its prey = 4 s

The Cheetah is the fastest land animal and can achieve a peak velocity of $100 km / h$ in a distance of less than $500 meters$ . If a cheetah spots its prey at a distance of $100 meters$ & the average velocity attained by it is $90 km / h$ , the minimum time to catch its prey is ____ $s$ .