A cheetah can run at a maximum speed of 102 km/h, and a gazelle can run at a maximum speed of 73.4 km/h. If both animals are running at full speed, with the gazelle 59.1 m ahead, how long will it take before the cheetah catches its prey?

Answer in units of meters.

To find the time it takes for the cheetah to catch the gazelle, we need to determine how long it would take for the cheetah to cover a distance of 59.1m at its maximum speed of 102km/h. First, we convert the speeds to the same units by dividing the cheetah's speed by 3.6. This gives us the speed of the cheetah as 28.33 m/s and the speed of the gazelle as 20.39 m/s. Next, we can use the equation:

Time = Distance / Relative Speed

Plugging in the values, we get:

Time = 59.1m / (28.33 m/s - 20.39 m/s)

Simplifying further:

Time = 59.1m / 7.94 m/s

Calculating the final value, we find that it will take approximately 7.45 seconds for the cheetah to catch the gazelle.

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A cheetah can run at a maximum speed of 102 km/h, and a gazelle can run at a maximum speed of 73.4 km/h. If both animals are running at full speed, with the gazelle 59.1 m ahead, how long will it take before the cheetah catches its prey? Answer in units of meters.

Answer :

Final answer:

Explanation:

Other Questions

A cheetah can run at a maximum speed of 102 km/h, and a gazelle can run at a maximum speed of 73.4 km/h. If both animals are running at full speed, with the gazelle 59.1 m ahead, how long will it take before the cheetah catches its prey?

Answer in units of meters.