Aparticle of mass m is acted upon by a net force f. as a result of the force, the particle starts from rest and moves along a curved path for which the acceleration relative to an inertial cartesian coordinate system with an origin at the location where the particle is at rest is given by a = x i^+ yj^+ z k^with x = at, y = b + ct, and z = d where a, b, c, and d are constants. you may assume that the units associated with t are seconds and the units associated with x, y, and z are m/s^2.
(a) what are the units of a, b, c, and d?
(b) determine the velocity and position as functions of time.
(c) if the numerical values of a, b, c, and d are 0.6, 1.8, -0.36, and 0 respectively, plot the path of the particle for 0 s lessthanorequalto t lessthanorequalto 10 s.
(d) when does ymaximum occur and what is its value?