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Matter In Our Surroundings

Question
CBSEENSC9005708

A cheetah is the fastest land animal and can achieve a peak velocity of 100 km/h upto distances less than 500 m. If a cheetah spots his prey at a distance of 100 m, what is the minimum time it will take to get its prey, if the average velocity attained by it is 90 km/h.

Solution
Here comma space
V e l o c i t y comma space v space equals space 90 space km over straight h space
space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 90 space cross times space 1000 space straight m over denominator 3600 space straight s end fraction space

space space space space space space space space space space space space space space space space space space space equals space 25 space straight m divided by straight s

D i s tan c e comma space straight s space equals space 100 space straight m space space space
Minimum space time comma space straight t space equals space straight s over v space equals space 100 over 25 space space equals space 4 straight s  
So, the minimum time the cheetah will get it's prey is 4 seconds.