Final Velocity Calculation for a Struck Ball

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    Impulse Momentum
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The discussion focuses on calculating the final velocity of a ball struck by a bat, given its mass of 180 g and an initial velocity of 10.0 m/s south. The impulse experienced by the ball is confirmed to be 10 Ns, but the calculated final velocity of 65.55 m/s differs from the textbook answer of 45.555 m/s. The user expresses confusion over the application of the impulse-momentum theorem, questioning whether the correct formulation is Ft = m(v-u) or Ft = m(u-v). They also highlight the importance of considering the relative velocity due to the opposing directions of the bat and ball. The discussion emphasizes the need for clarity in applying the impulse equation correctly to resolve the discrepancy.
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When a ball of mass 180 g is struck by a bat moving in the opposite direction,
the force acting on the ball is as shown in the graph (Figure 8.37). Determine
The final velocity of the ball if it was initially moving at
10.0 m s–1 south.

The graph depicted the Impulse as 10Ns (I checked the textbook and it was right)

However, when I calculated the final velocity, I got 65.55 and the answer in the textbook was 45.555

Ft = m(v-u)
10 = 0.180(v-10)
65.55 = v

Unless the Impulse is equation is Ft = m(u-v), i don't know how I got the answer wrong...
 
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Since the ball and the bat are moving in opposite directions, the relative velocity is v+10 not v-10 as you have.
 
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