The Amazing Speed of Cheetah: Average Acceleration and Displacement

What is average acceleration of a cheetah during a short sprint?

The average acceleration of the cheetah during the short sprint is 4.1 m/s².

Understanding Average Acceleration

The average acceleration of an object refers to the rate at which the velocity of the object changes with time. When we divide the change in velocity by an elapsed time, we are determining the average acceleration of the object. Mathematically, average acceleration is given as: a = Δv/Δt Where: - a is the average acceleration - Δv is change in velocity - Δt is change in time In the case of the cheetah, the average acceleration is calculated using the formula: v² = u² + 2as Where: - v is the final speed of the cheetah = 70 km/h = 19.44 m/s - u is the initial speed of the cheetah = 0 - s is the distance covered = 46 m Using the formula, the average acceleration is found to be 4.1 m/s².

What is the displacement of the cheetah at time t = 3.2 s?

The displacement of the cheetah at time t = 3.2 s is 99.53 m.

Calculating Displacement at Time t = 3.2 s

To calculate the displacement of the cheetah at time t = 3.2 s, we use the formula: s = u + ¹/₂at² Where: - s is the displacement - u is the initial speed of the cheetah = 0 - a is the average acceleration calculated earlier = 4.1 m/s² - t is the time = 3.2 s Plugging in the values, we get: s = ¹/₂(4.1)(3.2²) s = 99.53 m Therefore, the displacement of the cheetah at time t = 3.2 s is 99.53 meters.
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