My understanding is that Earth’s escape velocity is in the neighborhood of 25,000 mph and that speed decreases with distance. NASA’s curiosity web site lists curiosity’s current speed at around 115,000 kph, roughly 68,000 mph. I was surprised that it was going this fast! I had anticipated somewhere around escape velocity (I realize that escape velocity doesn’t impact how fast it could travel to Mars. Only that a significant portion of fuel would be used just to get up and out of here and didn’t seem like there’d be much left to get it to that velocity) .
If I read this correctly, Curiosity will enter the Martian atmosphere at around 13,000 mph.
The spacecraft only has small thrusters for course correction as I understand it, so how does it get from a 68,000 mph cruise to 13,000 mph just before entry?