Doubts on the sign of acceleration

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 983 views
Like Tony Stark
Messages
182
Reaction score
6
Homework Statement
Let' suppose that a problem says "a car has a velocity of ##5 m/s## and an acceleration such that it stops some seconds later". And I want to solve for the acceleration so I can replace it in another equation.
Relevant Equations
##V_f =v_0 +a.t##
What should I do? Because I have two possibilities. I have ##0=5+at## so ##-5/t =a##. But then I can also say that the acceleration is a negative because it is stopping, so I can write it like ##0=5-kt## and then ##5/t =k##
 
Physics news on Phys.org
In case 1 you get a neg value for a which means it was not positive per your assumption in the equation, but rather it is a negative. In case 2 you assumed a was neg and when your ans came out positive, it means you assumed the correct sign for a. Bottom line is when your answer comes out negative, you assumed the wrong sign (direction) ; when it comes out positive, you assumed the right sign.
Ahhhh...the wonders of the minus sign...