Question #bbcaf

1 Answer
Antoine
Jun 19, 2015

#a_x= 6.3"m/s"#
#a_y=2.7"m/s"#

Explanation:

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Figure (1) shows a representation of the acceleration vector with its components in the vertical(#a_y#) and in the horizontal(#a_x#) directions.

All these vectors can be rearranged in a triangle as shown in figure (2).

Hence, with respect to the question,

#a=6.8"m/s "# and #" " theta = 23°#

#=>sintheta=sin23°= a_y/6.8#

#=> a_y=6.8xxsin23°=2.7"m/s"#

Similarly,
#costheta= cos23°= a_x/6.8#

#=>a_x= 6.8xxcos23°= 6.3"m/s"#

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