Two skiers, Annie and Jack, start skiing from rest at different points on a hill

Question

Two skiers, Annie and Jack, start skiing from rest at different points on a hill at the same time. Jack, with mass 87 kg, skis from the top of the hill down a steeper section with an angle of inclination of 35°. Annie, with mass 61 kg, starts from a lower point and skis a less steep section, with an angle of inclination of 20°. The length of the steeper section is 115 m. Determine the acceleration, velocity, and position vectors of the combined center of mass for Annie and Jack as a function of time before Jack reaches the less steep section. (Use the following variable as necessary: t, where t is the time before Jack reaches the less steep section.)

Explanation / Answer

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