A flat plate is moving normal to its plane through a gas under the action of a constant force F. The gas is kept at very low pressure. The speed of the plate v is much less than the average speed u of the gas molecules. Which of the following options is/are true?

• The pressure difference between the leading and trailing faces of the plate is proportional to uv
• resistive force experienced by the plate is proportional to v
• The plate will continue to move with constant non-zero acceleration, at all times
• At a later time the external force F balances the resistive force