How to arrive at answer for integration question

  • Thread starter Alexenn
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  • #1
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Firstly, I am sorry if this is the wrong section (I really didn't know what each section meant, but I posted here since I am beginner)

Homework Statement



A stone is thrown up into the air at 20m/s is accelerated constantly downwards by gravity at about 10m/s2

Find the anti derivative of the acceleration

Note: I am not solving for C

Homework Equations


The Attempt at a Solution



The antiderivative of 20m/s is 10m/s2
and the antiderivate of -10m/s is -5m/s2

Neither of those match up to the answer, so I'm not sure how to arrive at the answer.

The answer in the book is v= -10t + c

Thankyou
 
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Answers and Replies

  • #2
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If you have [itex] a = 10[/itex] then you need to find [itex]\int 10\ dt [/itex]. There's no need to include units in your integral.
 
  • #3
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Ah, thank you very much. Can finally get on with work! =)
 
  • #4
SammyS
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If you have [itex] a = 10[/itex] then you need to find [itex]\int 10\ dt [/itex]. There's no need to include units in your integral.
That should be [itex] a = -10[/itex]. Of course, the units are m/s2 .
 

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