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A particle is moving along the path y = 4x 2 . Find the distance and displacement from x =1 and x=2.

A particle is moving along the path y = 4x2  . Find the distance and displacement from x =1 and x=2.

Grade:12

1 Answers

Sudheesh Singanamalla
114 Points
11 years ago

the equation of the path is

y = 4x2

so at  x=1

y = 4

and at x = 2

y = 16

since this is a square function , the path is a parabola.

so we need to draw the graph of the equation and use equation of a parabola i.e y = 4ax

in the given function a = 1

so the vertex of the parabola is (1,0)

at x = 1 ,

the point is coinciding with the x axis , and at 2 ,it is above the point in the first quadrant at a point

distance travelled and displacement is almost the same !

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