Yes

you do need a jacket based on the weather in West Sussex, UK 1 second ago

Why? Because it's cool. Pleasantly cool, but cool and it's on the windy side!
52°F11°C & Mostly Cloudy

Wind is 12 mph19 km/h from the Southwest, gusting to 24 mph38 km/h
November 1
7pm52°F11°C10 mph17 km/h SouthwestMostly Cloudy
8pm51°F10°C10 mph16 km/h SouthwestCloudy
9pm50°F10°C8 mph13 km/h WestMostly Cloudy
10pm49°F10°C8 mph13 km/h SouthwestMostly Cloudy
11pm49°F9°C9 mph14 km/h SouthwestDrizzle
November 2
12am48°F9°C8 mph12 km/h SouthwestMostly Clear
1am47°F9°C8 mph13 km/h SouthwestMostly Cloudy
2am47°F8°C8 mph13 km/h SouthwestMostly Cloudy
3am48°F9°C10 mph17 km/h SouthwestMostly Cloudy
4am49°F10°C12 mph19 km/h SouthwestMostly Cloudy
5am50°F10°C16 mph26 km/h SouthwestRain
6am49°F9°C15 mph24 km/h SouthwestRain
DateLowHighWindDayNight
November 148°F9°C60°F15°C13 mph21 km/h from SouthwestDrizzleRain
November 247°F8°C54°F12°C12 mph19 km/h from WestRainMostly Cloudy
November 350°F10°C60°F15°C19 mph30 km/h from SouthwestDrizzleWindy
November 455°F13°C59°F15°C16 mph26 km/h from SouthDrizzleRain
November 556°F13°C61°F16°C14 mph23 km/h from SouthDrizzleDrizzle
November 652°F11°C58°F14°C17 mph27 km/h from SouthwestWindyMostly Cloudy
November 751°F10°C59°F15°C18 mph29 km/h from SouthDrizzleDrizzle

Yes

Low of 47°F9°C, High of 54°F12°C
Wind: 12 mph19 km/h
Precipitation: 77% rain

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