Assignment title: Information


Question 1 A wall is being painted inside a workplace. There are four walls of equal size and area. Each wall is 3.46m high and 17.12m long. Find the area of the four walls, retaining the proper number of significant figures. 2 marks Question 2 a) If a car is travelling at a speed of 97 feet per second, is it exceeding the speed limit of 100km/h? b) If you were travelling at 35km/h, how far, in feet, would you travel in 4 minutes and 24 seconds? 2 marks Question 3 (a) The rectangular coordinates of a point in the x-y plane are (𝑥,𝑦)=(2.75, -6.10). Draw this point and label the axes and the point appropriately. Then find the polar coordinates of this point. (b) Convert (𝑟,𝜃)=(8.44mm, 23°) to Cartesian coordinates. Draw this point using both the polar coordinate system and the rectangular coordinate system. 4 marks Question 4 Figure below shows a person walking in a field. Find (a) the average velocity from O to C; (b) the average and instantaneous velocities from O to A; (c) the approximate instantaneous velocity at t=6 seconds; and (d) the average and instantaneous velocity at t=9 seconds. 4 marks Question 5 A typical jetliner lands at a speed of approximately 155mi/h and decelerates at a rate of approximately 9.5mi/h per second. If the plane travels at a constant speed of 155mi/h for 1.0s after landing before applying the brakes, what is the total distance travelled by the plane between touchdown and coming to a complete stop? Present your answer in metres. Draw a diagram to best illustrate your process.