Cuesta College, San Luis Obispo, CA
In July 2015 a girl fell out of a third-story apartment window, but landed with only a broken arm, her fall reportedly cushioned with a stuffed Minion doll from the movie Despicable Me.[*] Assume that girl fell 9.0 m downwards, with no initial vertical velocity. Neglect air resistance. Choose up to be the +y direction.
Miguel Tejada-Flores
flic.kr/p/re7Xwr
The elapsed time for the girl to fall and reach the ground was:
(A) 1.1 s.
(B) 1.4 s.
(C) 1.8 s.
(D) 2.2 s.
[*] Associated Press, "Police: Minion Toy Broke Girl's Fall from Window," July 20, 2015, wwlp.com/2015/07/20/police-minion-toy-broke-girls-fall-from-window/.
Correct answer (highlight to unhide): (B)
The following quantities are given (or assumed to be known):
(t0 = 0 s),
(y0 = 0 m),
y = –9.0 m (below the starting point),
v0y = 0 m/s (no initial velocity),
ay = –9.80 m/s2.
So in the equations for constant acceleration motion in the vertical direction, the following quantities are unknown, or are to be explicitly solved for:
vy = v0y + ay·t,
y = (1/2)·(vy + v0y)·t,
y = v0y·t + (1/2)·ay·(t)2,
vy2 = v0y2 + 2·ay·y.
With the unknown quantity t to be solved for appearing in the third equation, with all other quantities given (or assumed to be known), then:
y = v0y·t + (1/2)·ay·(t)2,
(–9.0 m) = (0 m/s)·t + (1/2)·(–9.80 m/s2)·t2,
1.355261854 s = t,
or to two significant figures, the elapsed time for the girl to fall is 1.4 s.
(Response (A) is ay/y; response (C) is 2·y/ay; response (D) is sqrt(ay/2).)
Sections 70854, 70855, 73320
Exam code: quiz02J3eP
(A) : 14 students
(B) : 50 students
(C) : 5 students
(D) : 3 students
Success level: 70%
Discrimination index (Aubrecht & Aubrecht, 1983): 0.69
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