We are staying at capital hotel Beijing how long and how will we get to terracotta warriors museum

You can take the bus 9 or take a taxi to Beijing West Railway Station, where you can take high-speed trains to Xian North. After you arrival, if you purchase the ticket of the museum in the train station, you can take the shuttle bus for free to the museum.

The high speed train betwteen Beijing and Xian takes around 5.5h and the free shuttle bus to the scenic spot takes an hour or a little bit longer.