The height, $h$ meters, of a projectile above the ground at a horizontal distance of $x$ meters from the launch point is modelled by the function $h(x) = -0.02x^2 + 1.2x + 3$, where $x \ge 0$. This model is valid until the projectile hits the ground.
b. Determine the horizontal distance from the launch point at which the projectile hits the ground. Justify that the height function is decreasing at the point of impact.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 4 marks, testing your understanding of Differentiation for Graph Sketching. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
application of differentiation to graph sketching and identification of key features of graphs, including stationary points and points of inflection, and intervals over which a function is strictly increasing or strictly decreasing
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