Science:Math Exam Resources/Courses/MATH110/December 2014/Question 05 (c)

MATH110 December 2014

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Question 05 (c)
If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in metres) above the ground level after ${\textstyle t}$ seconds is given by $$h(t)=10t-2t^{2}.$$ (c) Sketch a diagram of the rock’s height as a function of time for ${\textstyle 0\leq t\leq t_{h}}$.

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

Hint
The graph of a quadratic function has the shape of a parabola.

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Solution

Found a typo? Is this solution unclear? Let us know here. Please rate my easiness! It's quick and helps everyone guide their studies. Since $h(t)$ represents the height of the rock and from part (a), at $t=0,5$, $h(t)=0$, it starts from $(0,0)$, increases first, then decreases, and finally reaches $(5,0)$. On the other hand, $h(t)$ is a quadratic function, so that it has a parabola shape. Taking into consideration, we obtain the graph of $h$ as below