Projectile Motion: Is Final Y Velocity Lower Than Initial? Impact on Time?

[Nerdyboy]

I was solving a projectile motion problem and was wondering if, while going downwards, an object's final y velocity can be less than the initial y velocity. If this is true, would this change the time until it hit the ground?

The only reason I was thinking about this is because if x/v = t. If v is smaller, doesn't time increase?

 

[schaefera]

I believe you are talking about two different ideas: average speed and instantaneous speed. Yes, it velocity is lower than time must be larger in the equation you listed... but that is the average distance in (distance)/(velocity)=time. Instantaneous speed in projectile motion must ALWAYS be less than it was to start with, because there is downward acceleration on earth. This acceleration decreased velocity, but you don't use x/v=t... rather, you used the kinematics equations which take acceleration and such into account.