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A black mamba snake has a length of 2.97 m and a top speed of 3.24 m/s. Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates at 3.09 m/s\(^2\) from rest. How much time does it take the snake to reach its top speed?

Answer :

Answer:

0.917 seconds

Explanation:

Given that,

length of a snake is 2.97 m

The speed of the snake is 3.24 m/s

The acceleration of the snake is 3.09 m/s²

We need to find the time taken by the snake to reach its top speed. Let t is the time.

Speed = distance/time

Here, distance = length of the snake

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{2.97\ m}{3.24\ m/s}\\\\t=0.917\ s[/tex]

Hence, the time taken by the snake to reach its top speed is 0.917 seconds.

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Rewritten by : Barada

Final answer:

It takes the black mamba approximately 1.05 seconds to reach its top speed when accelerating from rest at 3.09 m/s^2.

Explanation:

To solve this problem we'll have to use some basic physics. Specifically, we can use the formula for time given acceleration and final velocity, which is: time = final velocity / acceleration.

Here, the final velocity is the top speed of the snake, which is 3.24 m/s. The acceleration is given as 3.09 m/s^2. Plugging these values into the formula gives us: time = 3.24 m/s / 3.09 m/s^2 = 1.04854368932 seconds.

Therefore, it takes the black mamba approximately 1.05 seconds to reach its top speed when accelerating from rest at 3.09 m/s^2.

Learn more about acceleration here:

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