A golf ball is hit off a tee at the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 16.3t and y = 3.64t − 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.)
(a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.)
By taking derivatives, do the following.
(b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.)
(c) Obtain the expression for the acceleration vector a as a function of time (in m/s2).
(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.76 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s2.)