Cheetah Acceleration Calculation

What is the acceleration of a cheetah that goes from rest to 84 km/h over a distance of 50 m? To calculate the acceleration of a cheetah that goes from rest to 84 km/h over 50 m, we convert the speed to m/s and use the kinematic formula. This yields an acceleration of 5.44 m/s².

Calculating the Cheetah's Acceleration

When a cheetah starts from rest and accelerates to 84 km/h over a distance of 50 m, we can determine its acceleration using kinematic equations.

First, we convert the final speed of 84 km/h to m/s. Since 1 km/h is equal to 1/3.6 m/s, the final speed is approximately 23.33 m/s (84 × 0.27778 = 23.33 m/s).

Given that the initial velocity is 0 m/s, final velocity is 23.33 m/s, and displacement is 50 m, we can use the formula:

v2 = u2 + 2as

Plugging in the values, we get:

23.332 = 02 + 2 × a × 50

Solving for acceleration (a), we find:

544.44 = 100a

a = 544.44/100

a = 5.44 m/s²

Therefore, the acceleration of the cheetah as it goes from rest to 84 km/h over a distance of 50 m is 5.44 m/s².

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