a cheetah is the fastest animal and can achieve a peak velocity of
100 km/hr upto a distance less than 500m. If a cheetah spots its prey
at a distance of 100m , what is the minimum time it will take to get its
prey?

solution :

peak speed of cheetah = 100 km/hr

First we will convert the speed into m/s

therefore ,

**100 km/hr = 100 *1000 m / 60 *60 **

( because 1km = 1000 m and 1hr = 60 mimutes and 1 minute = 60 seconds )

100km/hr = 100*5/18 m/s

= 500 /18 m/s

Therefore , Peak speed of Cheetah = 500/18 m/s

Distance between cheetah and its prey = 100 m

Therefore ,

time taken by cheetah to reach its prey at a distance of 100 m = distance between cheetah and prey / velocity of cheetah

= 100 /( 500/18) seconds

= 100*18/500

= 18/5

= 3.6 seconds

Hope this helps You !!