Cheetahs can accelerate to a speed of 20.2 m/s in 2.65 s and can continue to accelerate to reach a top speed of 29.0 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +? direction point in the direction the cheetah runs.Express the cheetah's top speed ?top in miles per hour (mi/h) .Starting from a crouched position, how much time ?accel does it take a cheetah to reach its top speed and what distance ? does it travel in that time?

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Asked Feb 8, 2019

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Cheetahs can accelerate to a speed of 20.2 m/s in 2.65 s and can continue to accelerate to reach a top speed of 29.0 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +? direction point in the direction the cheetah runs.

Express the cheetah's top speed ?top in miles per hour (mi/h) .

Starting from a crouched position, how much time ?accel does it take a cheetah to reach its top speed and what distance ? does it travel in that time?

Expert Answer

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Step 1

The initial speed of the cheetah is zero. The speed the cheetah reaches in 2.65 s is 20.2 m/s. The top speed the cheetah can reach is 29.0 m/s.

The top speed the cheetah can reach in miles per hour is,

Step 2

Here, the top velocity is expressed by v_t.

The expression for the acceleration of the cheetah is given by,

Step 3

Here, a is the acceleration, v is the final velocity of the cheetah, u is the initial velocity of the cheetah and t is the time...

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