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When striking, the pike, a predatory fish, can accelerate from rest to a speed of [tex]4.3 \, \text{m/s}[/tex] in [tex]0.12 \, \text{s}[/tex]. How far does the pike move during this strike?

Answer :

This calculation assumes the pike accelerates uniformly during the entire strike and neglects factors such as water resistance or any other external forces. Additionally, the time and speed values provided have been rounded to one decimal place, so the calculated distance is an approximation.

The pike, a predatory fish, can accelerate from rest to a speed of 4.3 m/s in 0.12 s. To find how far the pike moves during this strike, we can use the formula for distance traveled during uniform acceleration:

distance = initial velocity * time + (1/2) * acceleration * time^2

Since the pike starts from rest, its initial velocity is 0 m/s. The acceleration is the change in velocity divided by the time, which is (4.3 m/s - 0 m/s) / 0.12 s = 35.83 m/s^2.

Plugging in these values into the formula, we have:

distance = 0 * 0.12 + (1/2) * 35.83 * 0.12^2

Simplifying the equation, we get:

distance = 0 + (1/2) * 35.83 * 0.0144

distance = 0 + 0.5 * 0.515712

distance = 0.257856

Therefore, the pike moves approximately 0.26 meters during this strike.

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