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When a soccer ball is kicked toward a player and the

Chapter , Problem 67

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QUESTION:

When a soccer ball is kicked toward a player and the player deflects the ball by “heading” it, the acceleration of the head during the collision can be significant. Figure 2-38 gives the measured acceleration a(t) of a soccer player’s head for a bare head and a helmeted head, starting from rest. The scaling on the vertical axis is set by \(a_{s}=200 \mathrm{m} / \mathrm{s}^{2}\). At time t = 7.0 ms, what is the difference in the speed acquired by the bare head and the speed acquired by the helmeted head?

               

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QUESTION:

When a soccer ball is kicked toward a player and the player deflects the ball by “heading” it, the acceleration of the head during the collision can be significant. Figure 2-38 gives the measured acceleration a(t) of a soccer player’s head for a bare head and a helmeted head, starting from rest. The scaling on the vertical axis is set by \(a_{s}=200 \mathrm{m} / \mathrm{s}^{2}\). At time t = 7.0 ms, what is the difference in the speed acquired by the bare head and the speed acquired by the helmeted head?

               

ANSWER:

Step 1 of 3The speed of the bare head person is nothing but the area bounded in between the region to .The area bounded in between and for the bare headed person is given by,The area bounded in between and for the bare headed person is given by,The area bounded in between and for the bare headed person is given by,The area bounded in between and for the bare headed person is given by,So the net speed of the bare head person,

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