(Q17) key questions

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KEY QUESTIONS Lesson 17 1. A flare is shot upwards from the deck of a ship. The initial upward velocity of the flare is 30 m/s and the deck is 10 m above the surface of the ocean. The height of the flare in metres is given by hi= -50" +30r+ 10, where t is in seconds. a) Determine the average velocity of the flare during each of its first 6 seconds. [6 marks]MHF 4UB Unit IV Workbook 17 b) Why does the velocity change from positive to negative? [1 mark] c) When will the flare reach its maximum height? [1 mark] 2. Determine the slope of the tangent to y= = at the point (2, -1). Describe 1-x your steps without constructing a table. [4 marks] 3. Determine the equation of the tangent to the curvey = 7-4x-5x' given that the slope of the tangent is 1. [5 marks]