Why is my 2009 toyota matrix making a whinnig noise when accelerating

Could be the serpentine belt rubbing on something, but is probably a bearing problem in the belt idler pulley. However, it could be the power steering pump, AC compressor clutch or generator. As the water pump is at the opposite end of the engine, it's probably not that.

ENGINE HESITATES WHILE ACCELERATION

LOSS OF ACCELERATION

It can be fuel pressure issue or it's the problem with accelerator pedal or its clogged filters causing there.

There are many other possibilities. I suggest you to go through the list of help links mentioned below, these will help you to confirm where the actual fault lies: -------

Jerks and Hesitates During Acceleration?

http://technoanswers.blogspot.in/2012/07/2004-dodge-town-country-jerks-and.html

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Loss of acceleration?

http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html

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Headlights flickering and car hesitates to start?

http://howtobyme.blogspot.in/2012/02/headlights-flickering-and-car-hesitates.html

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How exactly the Vehicles Accelerator Cable works?

http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html

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How exactly Vehicles Accelerator Pump Diaphragm Works?

http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html

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2000 Toyota Avalon: Engine Lean Codes and Knock Sound on Acceleration?

http://whatisbyme.blogspot.in/2012/05/2000-toyota-avalon-engine-lean-codes.html

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2004 Toyota Avensis: Acceleration And Deceleration makes noise on Front End?

http://whatisbyme.blogspot.in/2012/05/2004-toyota-avensis-acceleration-and.html

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Wheel hop under hard acceleration?

http://technoanswers.blogspot.in/2012/04/wheel-hop-under-hard-acceleration.html

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2009 Chevy impala accelerator pedal sensor?

http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html

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Nissan Pathfinder stalls and bucks on Acceleration?

http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html

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Acceleration lag problem?

http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html

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These details will help.

Thanks.

Transmission and (ATF) power steering fluid is red. You can start by checking both fluid levels. If one is low, that will narrow down what one is possibly leaking. If either fluid level gets too low, you should notice things like...power steering making a whining noise, or hard to turn steering wheel. Transmission may also make whining sound, and may not accelerate like it normally should. Sounds like a possible high pressure line has a leak, since it stops when engine is off. The only way to know for sure is to wear safety glasses and while the vehicle is running, try to safely identify where it is leaking from. Be careful of moving parts. Might be best to take it to a mechanic shop, or the dealer.

caused by the power steering pump, a small price to pay to pay for light steering at slow speed.
you'll find most cars with steer assist tend to make some additional noise when the pump is being called on.... if the pump is faulty and eventually gives in, the worst that'll happen is being stubborn (heavy) to turn slow corners or while parking.

check the power steering fluid, it may have leaked out. that noise could be from your hubs or your boot if the truck has any. look under the car see if you can spot any tearing under the motor and around the wheels. where your differential is

power steering pump is either low or needs replaced

This is normal for a 210K Toyota Corolla. What you are hearing is the sound made by the power steering pump. Check fluid level and fill as needed. Some noise in the instances you are mentioning is normal.

sheck the power steering pump

Probably your power steering pump is going out or your power steering hose.

YOU NEED A PUMP