Question # Choose the correct option(s) in regards to trajectory (path) of the particle:

# Choose the correct option(s) in regards to trajectory (path) of the particle:

(A) Equation of the trajectory (path) of the particle is ( y=xleft(1-frac{beta}{alpha} xright) )

(B) Equation of the trajectory (path) of the particle is ( y=xleft(1-frac{alpha}{beta} xright) )

(C) trajectory of particle is symmetric about ( x=2 a / beta )

(D) trajectory of particle is symmetric about ( x=alpha / 2 beta )

Solution

( t=frac{x}{alpha} Rightarrow y=alpha t(1-beta t)=xleft(1-frac{beta x}{alpha}right)=frac{omega}{alpha}(alpha-beta x) )

graph is symmetrical about x = (alpha)/B

Option (A) and (D) are correct