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Sonic the Hedgehog (mass 1.3 kg) starts at rest on a jump spring that is compressed 1.9 m and has a stiffness of 366 N/m.  The spring decompresses, giving all its energy to sonic and launching him at a 75 degree angle.  Calculate Sonic's speed at the moment he loses contact with the spring, in m/s, taking into account the gravitational potential energy gained by Sonic during the launch. (Please answer to the fourth decimal place - i.e 14.3225)

Sonic the Hedgehog (mass 1.3 kg) starts at rest on a jump spring that is compressed 1.9 m and has a stiffness of 366 N/m.  The spring decompresses, giving all its energy to sonic and launching him at a 75 degree angle.  Calculate Sonic's speed at the moment he loses contact with the spring, in m/s, taking into account the gravitational potential energy gained by Sonic during the launch. (Please answer to the fourth decimal place - i.e 14.3225)

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Sonic the Hedgehog (mass 1.3 kg) starts at rest on a jump spring that is compressed 1.9 m and has a stiffness of 366 N/m.  The spring decompresses, giving all its energy to sonic and launching him at a 75 degree angle.  Calculate Sonic's speed at the moment he loses contact with the spring, in m/s, taking into account the gravitational potential energy gained by Sonic during the launch.

(Please answer to the fourth decimal place - i.e 14.3225)

This image shows a scene from a classic video game featuring a blue character with spiky hair and red shoes, who is in midair, having jumped from a spring platform. **Character and Action:** - The character, known for its speed, is leaping through the air against a backdrop of bright blue sky and fluffy clouds. - The jump was facilitated by a spring platform located in the lower left of the image, which is depicted as releasing the character upwards. **Environment:** - The background exhibits a lush green landscape with rolling hills, typical of early 2D platform games. - The pixel art style is indicative of early video games, emphasizing vibrant, contrasting colors and simple geometric shapes. **Gameplay Element:** - The spring platform is a mechanical device in the game, designed to propel the character into the air to reach higher platforms or collect items. **Educational Focus:** This image can be used to discuss early game design and the evolution of platform mechanics in video games, illustrating how simple visual and interactive elements were used to create engaging gameplay.
Transcribed Image Text:This image shows a scene from a classic video game featuring a blue character with spiky hair and red shoes, who is in midair, having jumped from a spring platform. **Character and Action:** - The character, known for its speed, is leaping through the air against a backdrop of bright blue sky and fluffy clouds. - The jump was facilitated by a spring platform located in the lower left of the image, which is depicted as releasing the character upwards. **Environment:** - The background exhibits a lush green landscape with rolling hills, typical of early 2D platform games. - The pixel art style is indicative of early video games, emphasizing vibrant, contrasting colors and simple geometric shapes. **Gameplay Element:** - The spring platform is a mechanical device in the game, designed to propel the character into the air to reach higher platforms or collect items. **Educational Focus:** This image can be used to discuss early game design and the evolution of platform mechanics in video games, illustrating how simple visual and interactive elements were used to create engaging gameplay.
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