Name: Chapter 4 assignment Total /30 Complete the following questions, show all your work. You may use your notes No talking, or sharing answers No use of technology (non-phone calculator allowed) 1) A supermarket employee wants to construct an open-top box from a 15 by 30 in piece of cardboard. To do this. the employee plans to cut out squares of equal size from the four comers so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume? Find the volume of the box. [10 marks] W ASUS REPUBLIC OF GAMERSunit 4 assignment 2) Two vertical poles, one 12 ft high and the other 16 ft high. stand 20 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of Name: Chapter 4 assignment Total 130 each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope? [10 marks] WStyles 3) A particle moves along a horizontal line. Its position function is s(t) fort = 0. Find the velocity function v(t) and the acceleration function a(t)_ Use the blank graph to sketch by hand s(t), v(1), and a(t). Label the corresponding graphs [10 marks] S(t) = 2t3 - 62 v(t) a(t) = 10 a. When does the motion of the object change direction? b. When is the object moving in a positive direction ? c. When is its acceleration positive? d. What is the velocity of the object when it return to the origin