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Question

Question: The radius vector of a point A relative to the origin varies as r = at\(\widehat{i}\) + bt<sup>2</su...

The radius vector of a point A relative to the origin varies as r = ati^\widehat{i} + bt2j^\widehat{j}where a and b are positive constants. Find the equation of trajectory.

A

y = ba2\frac{b}{a^{2}}x2

B

y2 = ba2\frac{b}{a^{2}}x

C

y = a2b\frac{a^{2}}{b}x2

D

None of these

Answer

y = ba2\frac{b}{a^{2}}x2

Explanation

Solution

x = at, y = bt2 or y = b(x/a)2.