Mechanical Prop...

A $$50kg$$ skydiver falls through the air and reaches terminal velocity after some time. The drag force is a function of velocity given by
                         $${F}_{drag}=-b{v}^{2}$$
where the negative sign denotes that the drag force is opposite to the direction of the velocity.
What is the terminal velocity of the skydiver (assuming the drag constant $$b$$ is $$0.2 {kg}/{m}$$)?

A $$300,000 kg$$ commercial airlines is flying through the air with $$150,000 N$$ of thrust.
For airplanes traveling at high speeds, the drag force is related to the velocity by the following equation
                              $${F}_{drag}=-b{v}^{2}$$
where drag force is opposite to the direction of the velocity.
If the drag constant $$b$$ is $$3 {kg}/{m}$$ and the airplane is moving at $$200 {m}/{s}$$, how would you describe its motion?

A spherical body of diameter D is falling in viscous medium. Its terminal velocity is proportional to:

Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $$P$$ where the velocity of flow is $$v$$. At another point, where the pressure is $$P/2$$, the velocity of flow is:
[Density of water $$=\rho$$]

A block of mass of a $$2kg$$ with dimensions $$5cm\times 20cm\times 10cm$$ respectively. The ratio of minimum to maximum pressure it exerts on the change in orientation is:

Due to air a falling body faces a resistive force proportional to square of velocity $$v$$, consequently its effective downward acceleration is reduced and is given by $$a = g - kv^{2}$$ where $$k = 0.002m^{-1}$$. The terminal velocity of the falling body is (in m/s)

The pressure exerted by a column of liquid of height $$h$$ and density $$p$$ is given by the hydrostatic pressure equation equal to

Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $$p$$ where the velocity of flow is $$v$$. At another point, where the pressure is $$p/2$$, the velocity of flow is [density of water = $$\rho$$]

In the diagram the area of cross section of the pistons $$A$$ and $$B$$ are $$8{cm}^{2}$$ and $$320{cm}^{2}$$ respectively then the thrust on the piston at $$B$$ is

 A cylinder is filled with non viscous liquid of density $$d$$ to a height $$h_o$$ and a hole is made at a height $$h_1$$ from the bottom of the cylinder. The velocity of liquid issuing out of the hole is