We have studied the relationship between the velocity and temperature of a solar EUV jet. The highly accelerated jet occurred in the active region NOAA 10960 on 2007 June 5. Multi-wavelength spectral observations with EIS/Hinode allow us to investigate Doppler velocities at a wide temperature range. We analyzed the three-dimensional angle of the jet from stereoscopic analysis with STEREO. Using this angle and Doppler velocity, we derived the true velocity of the jet. As a result, we found that the cool jet observed with He II 256 Å log10 Te [K] = 4.9 is accelerated to around 220 km s-1, which is over the upper limit of the chromospheric evaporation. The velocities observed with the other lines are below the upper limit of the chromospheric evaporation, while most of the velocities of the hot lines are higher than those of cool lines. We interpret that the chromospheric evaporation and magnetic acceleration occur simultaneously. A morphological interpretation of this event based on the reconnection model is given by utilizing the multi-instrumental observations.