A particle moves along the trajectory of parabola `y = ax^(2)`. Assuming speed to be constant, find the radius of curvature at the origin.

Question

A particle moves along the trajectory of parabola `y = ax^(2)`. Assuming speed to be constant, find the radius of curvature at the origin.

A particle moves along the trajectory of parabola `y = ax^(2)`. Assuming speed to be constant, find the radius of curvature at the origin.
A. `(1)/(2a)`
B. `(1)/(a)`
C. `(1)/(2ax)`
D. `(2)/(a)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`(dy)/(dx) = 2 ax rArr x = (1)/(2a) (d u)/(dx)`

5 views Answered 2023-02-05 15:29