Cheetah Acceleration Calculation
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.