V Part A A toboggan is traveling down along a curve which can be approximated by

Question

V Part A A toboggan is traveling down along a curve which can be approximated by the parabola y = 0.0122. (Figure 1) Determine the magnitude of its acceleration when it reaches point A, where its speed is UA = 10 m/s , and it is increasing at the rate of i = 3 m/s2. Express your answer to three significant figures and include the appropriate units. A HA 6 - 0 E ? xa xa : • x•10na a= Value Units Figure Submit Previous Answers Request Answer * Incorrect; Try Again; 10 attempts remaining Provide Feedback Next > 36 m

Explanation / Answer

y = 0.01x2, v = 10 m/s, at = 3 m/s2.

Find a?

y' = 0.02x, at A, x = 60 m, y' = 1.2

y" = 0.02

radius of curvature

= (1 + y'2)3/2/y"

= (1 + 1.22)3/2/0.02

= 190.6 m

an = v2/

= 0.525 m/s2

a = (at2 + an2)

= 3.0455 m/s2

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