Science:Math Exam Resources/Courses/MATH104/December 2014/Question 01 (g)
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Question 01 (g) 

Suppose the position of an object moving horizontally after seconds is given by the function for . Find the acceleration of the object at . 
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 

How is acceleration related to the position of an object? Think derivatives. 
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. If the position of an object is given by , then the acceleration is , the second derivative of the position function. So, we determine what the acceleration function is. and evaluating the acceleration at , we obtain . 