Step 1) Login to Google Apps email from a web browser.
Note: Must be an administrator.
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Step 2) Click on the 3x3 grid in the top-right and then click on 'More' at the bottom.
Step 3) Click on the 'Admin' icon displayed.
Note: You may need to verify your password after clicking on 'Admin'.
Step 4) Click on the 'Users' icon.
Step 5) Update password.
Click on lock with a circular arrow icon to reset the password for the corresponding user.
Step 6) Enter new password twice and then click on 'RESET'.
The user's password should now be updated!