KinematicsHard

Question

A particle is moving in x - y plane at 2 m/s along x - axis. 2 seconds later, its velocity is 4 m/s in a direction making 60o with positive x - axis. its average acceleration for this period of motion is : -

Options

A.√5 m / s2, along  y - axis
B.√3 m / s2, along  y - axis
C.√5 m / s2, along at 60o with positive x - axis
D.3 m / s2, along at 60o with positive x - axis

Solution

vi = 2î
vf = 4 cos 60oî + 4sin 60oĵ
=
 = 2î+2√3ĵ
= = 2î + 2√2ĵ - 2î = 2√3ĵ
= √3ĵ m/s2

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