A kitten pushes a ball of yarn rolling toward it at 1.00 cm/s with its nose, displacing the ball of yarn 17.5 cm in the opposite direction in 2.00 s. What is the acceleration of the ball of yarn?

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Answer 1 · 2018-01-22T20:50:55

#-9.75 cm//s^2#

#s = ut + 1/2at^2#

displacement = starting velocity + (#1/2# * acceleration * time^2)

acceleration is in #cm//s^2#
velocity is in #cm//s#
time is in #s#

#u = 1.00#cm/s

#t = 2.00#s

#s = -17.5#cm (opposite direction)

#-17.5 = (1*2) + 1/2*a*2^2#

#-17.5 = 2 + 2a#

#-19.5 = 2a#

#a = -19.5/2#

#a = -9.75#

acceleration #= -9.75 cm//s^2#