(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A ball of mass "m" is thrown vertically upward with a velocity of "vi." It experiences a force of air resistance given by F=-kv, where "k" is a positive constant. The positive direction for all vector quantities is upward. Does it take longer for the ball to rise to its maximum height or to fall from its maximum hieght back to the height from which it was thrown.

2. Relevant equations

I calculated the velocity as a function of time as (mg/k-vi)e^(-kt/m) = mg/k + v

3. The attempt at a solution

I believe that the projectile would take longer to fall to its initial position, because as it rises, the force of air friction and gravity work against the velocity. While falling, only air friction opposes the velocity.

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# Homework Help: Projectile motion with air resistance and ball of mass

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