Science:Math Exam Resources/Courses/MATH110/April 2016/Question 01 (b)
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Question 01 (b) 

If a rock is thrown upward on the planet Mars with a velocity of , its height (in metres) above the ground level after seconds is given by . Find the velocity of the rock when it hits the surface. 
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 velocity of rock is the derivative of height, and when the rock hits the surface, the height becomes 0. 
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. The velocity of rock as a function of is . The time that rock hits the ground: let , then is the moment that rock starts, is when rock goes back to surface.
answer: 