A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. It is 2 km long, and he starts with an initial speed of 5 m/s down the hill. If the coefficient of kinetic friction between his skis and the hill is 0.7: Does he make it to the bottom? If so, how long does it take?

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Skier on an Inclined Plane**

A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. The hill is 2 km long, and the skier starts with an initial speed of 5 m/s down the hill. The coefficient of kinetic friction between his skis and the hill is 0.7.

**Question:**
Does the skier make it to the bottom? If so, how long does it take?

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This problem involves concepts of kinematics and dynamics, specifically dealing with inclined planes and friction. The key elements given are:
- **Incline angle:** 30 degrees
- **Hill length:** 2 km (2000 m)
- **Initial speed:** 5 m/s
- **Coefficient of kinetic friction:** 0.7
Transcribed Image Text:**Physics Problem: Skier on an Inclined Plane** A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. The hill is 2 km long, and the skier starts with an initial speed of 5 m/s down the hill. The coefficient of kinetic friction between his skis and the hill is 0.7. **Question:** Does the skier make it to the bottom? If so, how long does it take? --- This problem involves concepts of kinematics and dynamics, specifically dealing with inclined planes and friction. The key elements given are: - **Incline angle:** 30 degrees - **Hill length:** 2 km (2000 m) - **Initial speed:** 5 m/s - **Coefficient of kinetic friction:** 0.7
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