A66 Two ski-slopes are of identical length and vertical height. Slope A, Fig. 1 is concave whilst slope B, Fig. 2 is partly convex. Two skiers, of equal weight, start from rest at the top of each slope. Assume that the effects of friction on the skis and of air resistance on the moving skiers' motion are negligible. A Fig. 11 Fig. 2 (a) At the bottom of the ski run, will the skier on slope A be moving faster, at the same spced. or slowcr than the skier on slone B?

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Chapter1: Units, Trigonometry. And Vectors
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A66 Two ski-slopes are of identical length and
vertical height. Slope A, Fig. 1 is concave
whilst slope B, Fig. 2 is partly convex. Two
skiers, of equal weight, start from rest at the top
of each slope. Assume that the effects of
friction on the skis and of air resistance on
the moving skiers' motion are negligible.
A
Fig. 11
Fig. 2
(a) At the bottom of the ski run, will the skier
on slope A be moving faster, at the same
speed, or slower than the skier on slope B?
Justify your answer.
(b) Will the skier on slope A take longer, the
same time, or less time than the skier on
slope B to complete the ski run? Justify
your answer.
(c) Aheavier skier joins the first skier on slope
A. He also starts from rest at the top of the
slope. Will he take longer, the same time,
or less time than the first skier to complete
the ski run? Justify your answer.
(d) Which of the three skiers will have most
energy at the bottom of the ski run?
Explain.
(O & C, '90]
Transcribed Image Text:A66 Two ski-slopes are of identical length and vertical height. Slope A, Fig. 1 is concave whilst slope B, Fig. 2 is partly convex. Two skiers, of equal weight, start from rest at the top of each slope. Assume that the effects of friction on the skis and of air resistance on the moving skiers' motion are negligible. A Fig. 11 Fig. 2 (a) At the bottom of the ski run, will the skier on slope A be moving faster, at the same speed, or slower than the skier on slope B? Justify your answer. (b) Will the skier on slope A take longer, the same time, or less time than the skier on slope B to complete the ski run? Justify your answer. (c) Aheavier skier joins the first skier on slope A. He also starts from rest at the top of the slope. Will he take longer, the same time, or less time than the first skier to complete the ski run? Justify your answer. (d) Which of the three skiers will have most energy at the bottom of the ski run? Explain. (O & C, '90]
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