Sofia is playing a game with her friend, Kara, where she throws M&M candies toward Kara....

 

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Sofia is playing a game with her friend, Kara, where she throws M&M candies toward Kara. Kara then adjusts the height of her mouth up/down in order to catch the M&M in her mouth, but their horizontal separation distance of 1.75 m always remains the same. Sofia throws the M&M at an angle of 60 above the horizontal with a speed of 4.13 m/s. When the M&M leaves her hand, it is 1.6m above the ground. The M&M is less than 1.6 m above the ground when Kara catches it, but the exact height is unknown. (a) Sketch a diagram of the M&M's trajectory. (b) How long does the M&M spend airborne before it reaches Kara? (c) At what height above the ground should Kara position her mouth in order to catch the M&M? Sofia is playing a game with her friend, Kara, where she throws M&M candies toward Kara. Kara then adjusts the height of her mouth up/down in order to catch the M&M in her mouth, but their horizontal separation distance of 1.75 m always remains the same. Sofia throws the M&M at an angle of 60 above the horizontal with a speed of 4.13 m/s. When the M&M leaves her hand, it is 1.6m above the ground. The M&M is less than 1.6 m above the ground when Kara catches it, but the exact height is unknown. (a) Sketch a diagram of the M&M's trajectory. (b) How long does the M&M spend airborne before it reaches Kara? (c) At what height above the ground should Kara position her mouth in order to catch the M&M?