Question

A cheetah can accelerate from 0 to 96km/h in 2 seconds where as a cat requires 6 seconds. compute the average acceleration of the cheetah and cat

Answer 1

Answer:

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Explanation:

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Answer 2

Given: A cheetah can accelerate from 0 to 96km/h in 2 seconds where as a cat requires 6 seconds.

To find: The average acceleration of the cheetah and cat.

Solution: The average acceleration of the cheetah and cat is 13.33 m/s² and 4.44 m/s², respectively.

The average acceleration of a body can be calculated as shown in the formula below.

$(a)_{avg} = \frac{v_{f}-v_{i}}{t}$

Here, vf is the final velocity, vi is the initial velocity and t is the total time taken. Now, the final velocity of the cheetah must be converted m/s.

$96 * \frac{1000}{3600} =\frac{80}{3} m/s$

Thus, the average acceleration of the cheetah is

$(a)_{avg} = \frac{\frac{80}{3} - 0}{2}$

          $= 13.33 m/s^{2}$

Now, the average acceleration of the cat is calculated as

$(a)_{avg} = \frac{\frac{80}{3} - 0}{6}$

          $= 4.44 m/s^{2}$

Therefore, the average acceleration of the cheetah and cat is 13.33 m/s² and 4.44 m/s², respectively.