Your cousin has just retired and the family is gathering for a packing party to prepare her to move from Auckland to the Bay of Islands. (a) When walking to her place, you traverse four successive displacements as below: d1 = (−63i) m d2 = (−40 cos 40◦i − 40 sin 40◦j) m d3 = (+30 cos 50◦i− 30 sin 50◦j) m d4 = (−50j) m where i indicate east, j indicates north and the angles of 40◦ and 50◦ are angles to the east-west direction. (i) Sketch a map of the four successive displacement vectors.

Arowboat passenger uses an oar to push the boat off the dock by exerting a force of 40n for 3.0s. what impulse acts on the boat.

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s

Against his financial advisor's advice, frank has decided to invest his money in some risky stocks because he once made quite a bit of money in the stock market. his decision illustrates a. the representativeness heuristic b. overconfidence c. the availability heuristic d. confirmation bias select the best answer from the choices provided