4. The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C Btz, where A : 3.2 m/s, B = 1.4 m/sz. and C: 2.5 m. Calculate the velocity and acceleration vectors ofthe bee as a function oftime. Write your answers in unit vector notation. 5. In a computer simulation, the position of a bird is programmed to be 1'" = {(5.0 cm) + (1.8 cm/sz)t2}i + {(6.0 cm/s)t}j'. 3. Find the bird's average velocity between t = 0 and t: 4.0 s, in cm/s. b. Find the bird's instantaneous velocity at t = 4.0 s, in cm/s. c. Find the bird's average acceleration between t = 0 and t: 4.0 s, in cm/sz. d. Find the bird's instantaneous acceleration at t = 4.0 s, in cm/sz. Write your answers in unit vector notation. 6. A frictionless cart sits on a ramp that is tilted down at an angle of 300 from horizontal. The cart is released from rest, with an initial position of F0 = [0 m]? + [0.500 m]j It rolls down the ramp (down and to the right) once it is released, and it's acceleration points down the ramp, parallel to the ramp, with a magnitude of 4.90 m/sz. Use a coordinate system where up is +y and to the right is +x. a. What are the x- and y-components ofthe cart's initial velocity? b. What are the x and ycomponents of the ca rt's acceleration? c. Use your answers to parts a and b to find the cart's position and velocity 1.50 seconds after it is released. Write your answers in unit vector notation