KinematicsHard

Question

The co-ordinate of the particle in x - y plane are given as x = 2 + 2t + t2 and y = 4t + 8t2 : -

Options

A.Along a straight line
B.Uniformly accelerated
C.Along a parabolic path
D.Non-uniformly accelerated

Solution

x = 2 + 2t + 4t2, y = 4t + 8t2
vx = = 2 + 8t,  vy = = 4 + 16t
ax = 8 ; ay = 16 ; = 8î + 16ĵ =  constant
y = 2(2t + 4t2) ; y = 2(x - 2) (∵ x = 2 + 2t + 4t2)

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