The velocity, $v(t)$, of a particle moving along a straight line is given by the graph below for \$0 \le t \le 8$, where $t$ is measured in seconds and $v$ is measured in meters per second. Assume the particle’s initial position is at the origin.
c. Sketch a possible graph of the particle’s displacement, $s(t)$, for \$0 \le t \le 4$. Indicate any key features, such as intercepts or turning points.
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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 Derivative and Anti-derivative Graphs. It falls under Calculus in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers graphical treatment of limits, continuity and differentiability of functions of a single real variable, and differentiation, anti-differentiation and integration of these functions. This material is to be linked to applications in practical situations.
deducing the graph of the derivative function from the graph of a given function and deducing the graph of an anti-derivative function from the graph of a given function
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