Science:Math Exam Resources/Courses/MATH110/December 2016/Question 06 (c)
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Question 06 (c) 

Explorers on a small airless planet used a spring gun to launch a small ball vertically upward from the ground at a launch velocity of . The explorers expected the ball to reach a height of
metres at seconds after being launched, where is a constant.
(c) Sketch the graph of the ball’s acceleration for . Make sure you indicate the values of any intercepts, if they exist. 
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 

Science:Math Exam Resources/Courses/MATH110/December 2016/Question 06 (c)/Hint 1 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. By Hint, the acceleration is a derivative of the velocity; .
Plugging , we get a intercept . On the other hand, since only has its function value , there's no points whose function value is . In other words, there's no intercepts. Since it is a constant function, we can easily draw its graph as follows.
