If you are really worried about your battery and don't mind doing something a bit beyond what might be your comfort level you can do the following:
1: Open Phone Dialer, enter the following using the keypad:
Code:
*#*#4636#*#*
2: This opens a diagnostics menu with 4 options: Phone information, Battery information, Battery history, Usage statistics. Select Battery information, this brings up your battery information such as temperature, status, type and various technical information. You want the lines in the middle titled "Battery scale" and "Battery health".
3a: If Battery health reads "Good" and Battery scale reads "100" then your low battery life is likely related to how much you use the Battery intensive options and features. In that case return to the Home screen (You can either press the Home button or press the Back button until you have reached the Home screen) and press Menu > Settings > About phone > Battery use. Look at what items are at the top of the list (Display will always be near the top but shouldn't read higher than about 50-53%). Try turning these features off (if GPS, Bluetooth, WiFi are high on the list) or try reducing how much you use particularly battery intensive programs.
3b: If Battery health reads something other than "Good" and Battery scale reads less than "100" then you might want to take the phone into Verizon and tell the techs that you are concerned about your battery and you would like it replaced (don't tell them that you used these menus as they might try to use it to deny you service).