If it just does it a little its probably torque steer. Its common in fwd vehicles.
The tires may need alignment if it pulls to one side and or the wheels may need to be balanced
They are
Drive shaft is going out
Slow engine RPM is the main reason a car may be sluggish while accelerating. However, it also could be due to the oil.
Have your brake system inspected. Sounds like you have a caliber sticking.
dirty fuel line
it is the person who pulls out on your street
To calculate how far the car travels while accelerating, you would need to use the kinematic equation: distance = (initial velocity × time) + (0.5 × acceleration × time^2). Plug in the values of the initial velocity, final velocity, and acceleration into the formula to find the distance traveled.
Your car may be accelerating to the right from a stop due to issues with the alignment, tire pressure, or a problem with the brakes on one side of the vehicle. It is recommended to have your car inspected by a professional mechanic to diagnose and fix the issue.
A gas leak with the car sputtering while accelerating could be a hole in the vacuum hose that controls the flow of gasoline out of the tank. This type of leak is usually not caused by the fuel pump itself.
It's possible you have a bad wheel bearing, or, if it's a front wheel drive car, bad CV joints are also a possibility.
bad wheel bearings