A point moves in the plane `xy` according to the law `x = alpha sin omega t, y = alpha(1 - cos omega t)`, where `alpha` and `omega` are positive constant and `t` is time. Find the distance traversed by point in time `t_(0)`.

A point moves in the plane xy according to the law x=a sin omegat , y=a(1-cos omega t) , where a and omega are positive constants. Find: (a) the distance s traversed by the point during the time tau ,

A point moves in the plane xy according to the law x=a sin omegat , y=a(1-cos omega t) , where a and omega are positive constants. Find: (a) the distance s traversed by the point during the time tau , (b) the angle between the point's velocity and acceleration vectors.

A particle moves in xy plane according to the law x = a sin omegat and y = a(1 – cos omega t) where a and omega are constants. The particle traces

A point moves in the plane xy according to the law, x=a sin omegat,y=a(1-cosomegat) Answer the following question taking a and omega as positive constant The distance travelled by the point during the time T is

A point moves in the plane xy according to the law, x=a sin omegat,y=a(1-cosomegat) Answer the following question taking a and omega as positive constant The magnitude of the velocity of the point as a function of time is

A particle of mass 'm' is moving in the x-y plane such that its x and y coordinate vary according to the law x = a sin omega t and y = a cos omega t where 'a' and 'omega' are positive constants and 't' is time. Find (a) equation of the path. Name the trajectory (path) (b) whether the particle moves in clockwise or anticlockwise direction magnitude of the force on the particle at any time t .

A particle of mass 'm' is moving in the x-y plane such that its x and y coordinate very according to the law x = a sin omega t and y = a cos omega t where 'a' and 'omega' are positive constants and 't' is time. Find (a) equation of the path. Name the trajectory (path) (b) whether the particle moves in clockwise or anticlockwise direction magnitude of the force on the particle at any time t .

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.