2001 volvo v70 smoking under the hood cant find out where an when putting in gear shift very rough automatic engine jumps hard

This could be your IAC valve, or idle air valve which is supposed to open fully when the car is put into drive. If not, engine will stall out. Clean throttle body, as well as the IAC valve with carb cleaner. Turn IAC upside down so carb cleaner does not enter the body of the valve or motor end of business.

Volvo v70 automatic gearbox is very sensitive to the wrong oil. Drain and refill with Mobil ATF3309

you probably have a bad motor mount. Look under the hood, passenger side of engine compartment cast iron mount with rubber insert. Is the rubber insert worn visually inspecting. If you cannot tell, have a friend start the car, emergency brake on, foot on brake, shift from park to drive, does the motor jump in the mount? shift from drive to reverse, does it jump again. If so bad mount, local auto repair store should carry. you will have to jack up the engine carefully not much and not directly on oil pan, you just have to relieve the weight on the mount to replace. several m10 bolts, 15mm socket to remove. retighten fasteners to 58+/- 9Nm of torque. good luck.

Check the shift linkage cable and make sure its in place at the transmission.

Looks like an automatic tansmission that won't shift out of first gear... You need to pull the OBDII transmission codes to find out why. If it's engine rpm realted, again the engine codes will tell you where to look. You can buy a cheap OBDII code reader or get a read-out at your local garage for just a few bucks.

when the light flashes there is a misfire taking place check the plugs and spark plug wells look for black lines down the sides of the plugs

Find a transmission servicer that is not afraid of tackling a Volvo problem. This is probably why the car was for sale in the first place. Good luck!

e.t.m cleanout and upgrade needed

NO: 43-37
DATE: 2-25-2003
MODEL: MY 2001-2002 S60, V70, V70 XC
SUBJECT: Shift Quality Issues due to B4 Servo Cover Failure, 2-3 upshift harshness or flare
CHASSIS: These chassis breaks are approximate:
S60: 062000-152000
V70: 116000-230000
V70 XC: 036000-067100
TRANSMISSION SERIAL NUMBER: The first 3 digits of the serial number on the affected transmissions will be between 01C (March 2001) and 01L (December 2001).
DESCRIPTION:
In the AW 55-50, brake number four (B4), is only applied in 3rd gear. The B4 is applied by a piston, which is covered by an aluminum cap. This cap has a steel washer crimped to its inside surface, and a rubber cushion that sits between the cover and the washer.
If this washer breaks free from the crimps it will become concaved because of the B4 piston return spring pressure.
This loose washer can cause: - " 2-3 upshift flare / slip - " Harsh 2-3 upshifts - " 3-4 upshift flare / slip - " Harsh 4-3 downshifts
Replacing the broken B4 cover with a new one (PN 30651771) will remedy these symptoms.