The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.) Answer in units of m.

Respuesta :

Basically the cheetah is running 31.5km/h faster than the gazelle. So to determone how long it will take to cover 9mm at that speed, you have to a lot of work. If you skip all of that work, the answer is 1.60m seconds

We have that  the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape is

[tex]d=250m[/tex]

From the question we are told

The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.) Answer in units of m.

Generally the equation for the  Distance traveled is mathematically given as

d=vt

Where a cheetahs tops speed is given as

[tex]v=33.36m/s[/tex]

Therefore

[tex]d=33.36*7.5[/tex]

[tex]d=250m[/tex]

Therefore

the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape is

[tex]d=250m[/tex]

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