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Physics (7th Edition) By Cutnell and Johnson Chapter 3 Problem 22 The 1994 Winte

ID: 1761633 • Letter: P

Question

Physics (7th Edition) By Cutnell and Johnson Chapter 3 Problem 22 The 1994 Winter Olympics included the aerials competition inskiing. In this event skiers speed down a ramp that slopes sharplyupward at the end. The sharp upward slope launches them into theair, where they perform acrobatic maneuvers. In the women’scompetition, the end of a typical launch ramp is directed 63°above the horizontal. With this launch angle, a skier attains aheight of 13 m above the end of the ramp. What is theskier’s launch speed? I am not sure how to find the initial speed from the givendata. Physics (7th Edition) By Cutnell and Johnson Chapter 3 Problem 22 The 1994 Winter Olympics included the aerials competition inskiing. In this event skiers speed down a ramp that slopes sharplyupward at the end. The sharp upward slope launches them into theair, where they perform acrobatic maneuvers. In the women’scompetition, the end of a typical launch ramp is directed 63°above the horizontal. With this launch angle, a skier attains aheight of 13 m above the end of the ramp. What is theskier’s launch speed? I am not sure how to find the initial speed from the givendata.

Explanation / Answer

Given :
   Height ( h ) = 13 m
g = 9.8 m/s2
The skiers vertical speed at launch must be     v2 = 2 gh          = 2 * 9.8 *13         = 254.8   v = 15.96 m/s This is only the vertical speed... the total speed can befound by    sin 63 = vert speed / totalspeed       total speed = vert speed / sin63                  = 15.96 / sin63                  = 17.91 m/s I hope it helps you