A person steps off of a table with a height of 1.0 meters. Assume that their ini

Question

A person steps off of a table with a height of 1.0 meters. Assume that their initial velocity is zero.

a. What will be their "final" velocity right before they land? Assume units of m/s in the answer you provide. You may assume that g = 10 m/s2.

b. Assume that their knees bend, shortening their legs by a distance of 20. cm. What is the magnitude (that is, the absolute value) of their acceleration upon impact, assume units of m/s2.

c. What would be the magnitude of their acceleration in m/s if they landed and bent their knees more deeply, such that their legs shortened by 40 cm?

Explanation / Answer

a. v0 = 0

a= - 9.8 m/s^2

Applying vf^2 - v0^2 = 2 a d

v^2 - 0^2 = 2(-9.8)(-1)

v = 4.43 m/s

b. as he stops in 20 cm. vf = 0

d = 0.20 m

0^2 - 4.43^2 = 2(-a)(0.20)

a = 49 m/s^2 ........Ans

(c) 0^2 - 4.43^2 = 2(-a) (0.40)

a = 24.5 m/s^2 ..........Ans

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