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In a forward punch in karate, the fist begins at rest at

Chapter , Problem 66

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QUESTION:

In a forward punch in karate, the fist begins at rest at the waist and is brought rapidly forward until the arm is fully extended. The speed v(t) of the fist is given in Fig. 2-37 for someone skilled in karate. The vertical scaling is set by \(v_{s}=8.0 \mathrm{m} / \mathrm{s}\). How far has the fist moved at

(a) time t = 50 ms and

(b) when the speed of the fist is maximum?

     

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QUESTION:

In a forward punch in karate, the fist begins at rest at the waist and is brought rapidly forward until the arm is fully extended. The speed v(t) of the fist is given in Fig. 2-37 for someone skilled in karate. The vertical scaling is set by \(v_{s}=8.0 \mathrm{m} / \mathrm{s}\). How far has the fist moved at

(a) time t = 50 ms and

(b) when the speed of the fist is maximum?

     

ANSWER:

Step 1 of 3 a) The distance moved by the fist for the time is nothing but the area bounded in between the region to . Consider the figure,

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