Distance traveled for current velocity and constant acceleration as known variables

  • #1

Homework Statement



Suppose an object has a velocity [itex]v[/itex] and an acceleration of [itex]a[/itex], where [itex]a[/itex] is negative. The object will eventually reach a velocity of zero [itex]v = 0[/itex]. How much distance will the object travel until [itex]v = 0[/itex]?

Homework Equations



v = u + at
s = 0.5(u+v)t
s = ut + 0.5 at2
v2 - u2 = 2as

The Attempt at a Solution



Since v2 - u2 = 2as, s = -u2/2a. I implemented this formula into a program I am using, but the object did not stop at the given distance. Am I doing something obviously wrong here? Any help would be greatly appreciated.
 

Answers and Replies

  • #2
538
148


Well, using equation 1, set v = 0 and solve for t. Then plug that value into equation 3.
 

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