5. A soccer ball was kicked by a student at recess, causing it to roll along the flat playground surface at speed \( v_0 \) when it comes to a ramp tilted upward at an angle \( \theta \) above the horizontal. The ramp has a height \( h \) at the higher end. For a ball with an initial velocity of 5.0 m/s, and a ramp having an angle \( \theta = 30^\circ \) and height \( h = 1.0 \) m, does the ball reach the end of the ramp? If yes, how far beyond the end of the ramp does the ball land on the ground? If no, how far up the ramp will the ball go before turning around and returning to the student.**Diagram Explanation:**- The diagram shows a soccer ball initially rolling at a velocity \( v_0 = 5.0 \) m/s.- The ball approaches a ramp inclined at an angle of \( 30^\circ \).- The initial position of the ball on the horizontal surface is marked as \( y_0 = 0 \).- The ramp rises to a final height \( y_1 \), equal to 1.0 m at the higher end.- The distance along the ramp is labeled as \( s \).- The final speed of the ball at the top of the ramp is \( v_1 = ? \). The problem is focused on determining the ball's behavior as it travels up the ramp and whether it reaches the end of the ramp or reverses before that point.

We are given initial velocity of ball. We apply conservation of energy to find whether the ball goes…

Answered: 5. A soccer ball was kicked by a…

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