Yes

you do need a jacket based on the weather in London Borough of Lewisham, UK 1 second ago

Why? Because it's cool. Pleasantly cool, but cool.
55°F13°C & Windy

Wind is 16 mph25 km/h from the SW, gusting to 32 mph52 km/h
March 29
10am55°F13°C16 mph25 km/h SWWindy
11am56°F13°C15 mph24 km/h SWWindy
12pm55°F13°C15 mph23 km/h SWPartly Cloudy
1pm54°F12°C13 mph21 km/h SWPartly Cloudy
2pm52°F11°C11 mph17 km/h SWPartly Cloudy
3pm50°F10°C9 mph15 km/h SMostly Cloudy
4pm49°F9°C8 mph13 km/h SMostly Cloudy
5pm48°F9°C7 mph11 km/h SMostly Cloudy
6pm47°F8°C6 mph9 km/h SPartly Cloudy
7pm46°F8°C5 mph8 km/h SPartly Cloudy
8pm45°F7°C5 mph8 km/h SPartly Cloudy
9pm44°F7°C4 mph7 km/h SMostly Cloudy
DateLowHighWindDayNight
March 2845°F7°C56°F13°C14 mph22 km/h from SWRainMostly Cloudy
March 2942°F6°C57°F14°C4 mph6 km/h from SWMostly CloudyPartly Cloudy
March 3042°F5°C56°F13°C11 mph18 km/h from EMostly CloudyRain
March 3146°F8°C53°F12°C9 mph14 km/h from NWDrizzleDrizzle
April 143°F6°C55°F13°C7 mph10 km/h from SWCloudyDrizzle
April 245°F7°C54°F12°C16 mph26 km/h from SWDrizzleMostly Cloudy
April 342°F6°C55°F13°C10 mph17 km/h from SDrizzleCloudy

Yes

Low of 42°F6°C, High of 57°F14°C
Wind: 4 mph6 km/h
Precipitation: None

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