A particle moves in the XY-plane according to the law `x = kt, y = kt (1- alphat)`, where k and `alpha` are positive constants and t is time. The trajectory of the particle is

A particle moves in the x-y plane according to the law x=at, y=at (1-alpha t) where a and alpha are positive constants and t is time. Find the velocity and acceleration vector. The moment t_(0) at which the velocity vector forms angle of 90^(@) with acceleration vector.

A particle moves in the x-y plane according to the law x=at, y=at (1-alpha t) where a and alpha are positive constants and t is time. Find the velocity and acceleration vector. The moment t_(0) at which the velocity vector forms angle of 90^(@) with acceleration vector.

A particle moves in the x-y plane according to the law x=at, y=at (1-alpha t) where a and alpha are positive constants and t is time. Find the velocity and acceleration vector. The moment t_(0) at which the velocity vector forms angle of 90^(@) with acceleration vector.

A point moves in the plane xy according to the law x=at , y=at(1-alphat) , where a and alpha are positive constants, and t is time. Find: (a) the equation of the point's trajectory y(x) , plot this function, (b) the velocity v and the acceleration w of the point as functions of time, (c) the moment t_0 at which the velocity vector forms an angle pi//4 with the acceleration vector.

A point moves according to the law" "x= at, y=at (1 -alphat) where a and alpha are positive constants and t is time . If the moment at which angle between velocity vecotrs and acceleration vectors is (pi)/(4) is given by (A)/(alpha) . Find the value of A .

A point moves the plane xy according to the law x=K sin wt and y=K(1-cos wt) where K and w are positive constants.Find the distance s traversed by the particle duting time t