Question

The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in the figure below, forming two straight sides of a 118° angle, with one side 160 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same time but runs along the snake. (a) If both children run steadily at 5.0 km/h, Inge reaches the head of the snake how much earlier than Olaf? 134.76 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. S (b) If Inge runs the race again at a constant speed of 5.0 km/h, at what constant speed must Olaf run to reach the end of the snake at the same time as Inge? * Your response differs from the correct answer by more than 10%. Double check your calculations. km/h

Answer 1

(as Distance covered by Ingel L=160m, 2 to 40-160 = 260m (using cosine rull) x 160²+260² - (2x 160x260 x ws 118) - 363.68m u 0.36368 km - t. 2 0 :36368 km speed = 0.07.2435h 5kmin = 0.002435 x 60 xbo s 261.85s te- (420 x 10-3) kan Sunls Speed - - 0.084 h -0.084 x 60 x 6os. - 302.45 Dt 302.4 – 261.85 = 140.55 s. t = some as before = 261.855. tatt, = 261.86s da vzadze 420 m 420m 261.85 - 1.604 mis - 1.6orx 3.6 danh - 5.77 km/h

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