The coordinates of an object moving in the xy plane vary with time according to the equations x= −5.00 sin(ωt)and y =4.00−5.00 cos(ωt) where ω is a constant, x and y are in meters and t is in seconds (A Determine
the components of velocity of the object at t=0 (B Determine the components of acceleration of the object
at t=0(C) Write expressions for the position vector the velocity vector and the acceleration vector of the
object at any time t>0. (D) Describe the path of the object in an xy plot
A golf ball is hit off a tree at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 18.0t and y = 4.00t − 4.9t 2 , where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball’s position as a function of time, using the unit vectors ˆi and ˆj. By taking derivatives, obtain expression for (b) the velocity vector ~v as a function of time and (c) the acceleration vector ~a as a function of time. (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.00 s.