Yes

you do need a jacket based on the weather in Santa Cruz, CA, USA 1 second ago

Why? Because it's cold. simple as that.
45°F7°C & Cloudy

Wind is 2 mph3 km/h from the NE, gusting to 4 mph6 km/h
March 29
6am44°F7°C2 mph4 km/h ECloudy
7am45°F7°C3 mph4 km/h ECloudy
8am45°F7°C3 mph5 km/h SECloudy
9am46°F8°C4 mph7 km/h SECloudy
10am46°F8°C5 mph8 km/h SEDrizzle
11am48°F9°C7 mph11 km/h SDrizzle
12pm48°F9°C9 mph14 km/h SEDrizzle
1pm48°F9°C10 mph16 km/h SEDrizzle
2pm49°F10°C12 mph20 km/h SEDrizzle
3pm50°F10°C13 mph20 km/h SERain
4pm51°F10°C13 mph21 km/h SERain
5pm51°F11°C13 mph21 km/h SERain
DateLowHighWindDayNight
March 2944°F7°C53°F12°C12 mph19 km/h from SRainRain
March 3045°F7°C58°F15°C8 mph12 km/h from EDrizzlePartly Cloudy
March 3142°F5°C59°F15°C6 mph9 km/h from WPartly CloudyMostly Clear
April 141°F5°C68°F20°C4 mph6 km/h from WClearClear
April 244°F6°C70°F21°C4 mph6 km/h from SWClearMostly Clear
April 346°F8°C68°F20°C5 mph8 km/h from WPartly CloudyMostly Clear
April 441°F5°C58°F14°C11 mph17 km/h from NWMostly ClearPartly Cloudy

Yes

Low of 45°F7°C, High of 58°F15°C
Wind: 8 mph12 km/h
Precipitation: 67% rain

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