[" 1.A radius vector of point A relative to the origin varies with "],[" time "t" as "vec r=athat i-bt^(2)hat j" where "a" and "b" are constants.Find "],[" the equation of point's trajectory."],[" 2.The speed of a body moutim "]

A ardius vector of point A relative to the origin varies with time t as vec(r)= at hat(j)-bt^(2) hat(j) where a and b are constants. Find the equation of point's trajectory.

A ardius vector of point A relative to the origin varies with time t as vec(r)= at hat(j)-bt^(2) hat(j) where a and b are constants. Find the equation of point's trajectory.

A radius vector of point A relative to the origin varies with time t as vec r = at hat i - bt^2 hat j where a and b are constant. The equation of point's trajectory is.

A radius vector of point A relative to the origin varies with time t as vec r = at hat i - bt^2 hat j where a and b are constant. The equation of point's trajectory is.

A radius vector of a point A relative to the origin varies with time t as r=ati-bt^2j , where a and b are positive constants, and I and j are the unit vectors of the x and y axes. Find: (a) the equation of the point's trajectory y(x) , plot this function, (b) the time dependence of the velocity v and acceleration w vectors, as well as of the moduli of these quantities, (c) the time dependence of the angle alpha between the vectors w and v, (d) the mean velocity vector averaged over the first t seconds of motion, and the modulus of this vector.

The velocity vector at a point A varies with time as vecv=ahati+bthatj , where a and b are positive constants. The equation of trajectory of the point would be

The velocity vector at a point A varies with time as vecv=ahati+bthatj , where a and b are positive constants. The equation of trajectory of the point would be

The position vector of car w.r.t. its starting point is given as vecr="at" hati+bt^(2)hatj where a and b are positive constants. find the equation of trajectory :-

The position vector of a point with time varies as athati+bt^2hatj .a and b are positive constant .What is the nature of the trajectory?

A particle move in x-y plane such that its position vector varies with time as vec r=(2 sin 3t)hat j+2 (1-cos 3 t) hat j . Find the equation of the trajectory of the particle.