What is the length of the incline? Express your answer with the appropriate unit

Question

What is the length of the incline? Express your answer with the appropriate units. Constants Periodic Table A skier starts down a 16 incline at 2.0 m/s, reaching a speed of 17 m/s at the bottom. Friction between the snow and her freshly waxed skis is negligible. L= Value SubmitPrey Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Part B How long does it take the skier to reach the bottom? Express your answer with the appropriate units. IA Value SubmitPrey ious Answers Request Answer

Explanation / Answer

given
vi = 2.0 m/s
vf = 17 m/s

A) acceleration of the skier, a = g*sin(16)

= 9.8*sin(16)

= 2.70 m/s^2

now use, vf^2 - vi^2 = 2*a*L

==> L = (vf^2 - vi^2)/(2*a)

= (17^2 - 2^2)/(2*2.70)

= 53 m

B) use, vf = vi + a*t

==> at = (vf - vi)

= t = (vf -vi)/a

= (17 - 2)/(2.7)

= 5.6 s

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