An object moves uphill in a potential

[delve]

an object moves "uphill" in a potential

$$=-\int_{1}^{2}\nabla\mbox{U}\cdot\mbox{dr}\$$

$$=-\int_{1}^{2}\mbox{dU}$$

How can this be?

Any help would be appreciated. Thank you

 

[Redbelly98]

This says, essentially, that if an object moves "uphill" in a potential, the work done on the object is negative and so it will have less kinetic energy (move slower) when it moves towards a higher potential.