When Does Change in Velocity Use v=v2+v1 or v=v2-v1?

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Change in velocity is calculated using Δv = v2 - v1 when determining the difference between two velocities in different directions. For example, a car turning from 15 m/s [N] to 18 m/s [E] requires vector subtraction to find the change in velocity. Conversely, when velocities are in the same direction, such as a plane increasing speed from 200 km/h [N] to 300 km/h [N 30 W], vector addition is used. The key to deciding between addition and subtraction lies in the direction of the vectors involved. Understanding vector direction is crucial for correctly applying these formulas.
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in this question change v=v2-v1: a car traveling at 15m/s [N] executes a gradual turn, so that it then moves at 18m/s[E]. Calcue change in veloctiy.

but in this question change v= v2+v1: A plane's velocity changes from 200km/h[N] to 300 km/h [N 30 W]. Find the plane's change on velocity.

How do i know when to use which formula?
 
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fakecrash2011 said:
in this question change v=v2-v1: a car traveling at 15m/s [N] executes a gradual turn, so that it then moves at 18m/s[E]. Calculate change in velocity.

but in this question change v= v2+v1: A plane's velocity changes from 200km/h[N] to 300 km/h [N 30 W]. Find the plane's change on velocity.

How do i know when to use which formula?
Change in velocity is Δv = v2 - v1 . Never is v2 + v1
 
what i mean is how do you know when to add or subtract vectors?
 
The same way you know when to add or subtract numbers!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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