**Problem Description:**A cannonball is fired with an initial velocity \( v_i \) of 91.8 m/s, at an angle of \( \theta_0 = 57^\circ \) with the horizontal. At the top of the trajectory, the cannonball explodes into three fragments of masses \( m_1 \), \( m_2 = m_1 \), and \( m_3 = 2m_1 \). The fragment with mass \( m_3 \) travels along the +x direction with a speed of 45 m/s. The fragment with mass \( m_1 \) falls vertically downward with a speed of 48 m/s. Find the magnitude of the velocity of the fragment \( m_2 \).**Student's Answer:**Magnitude of the velocity of fragment \( m_2 \): 110 m/s (Incorrect)**Correct Answer:**Magnitude of the velocity of fragment \( m_2 \): 120.01 m/s---**Second Part of the Problem:**Find the direction (angle) of the velocity of the fragment \( m_2 \) as measured from the positive x-axis.**Student's Answer:**Direction (angle) of the velocity of fragment \( m_2 \): 133.15 degrees (Incorrect)

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Answered: A cannonball is fired with an initial…

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