(i)

Archimedes principles states that a body wholly or partially immersed in a fluid experiences an upward force called upthrust which is equal to the weight of fluid displaced.

(ii)

Upthrust = Density x Volume x Acceleration due to gravity

Density = 10.30 kgm^-3

Volume = 200 m³

Acceleration due to gravity (g) = 10 ms^-2

Upthrust = 10.30 kgm^-3 x 200 m³ x 10 ms^-2

Upthrust = 20,600 N

(i)

Displacement is the distance moved in a given/specified direction.

OR

Displacement is the change in position of a body in a given/specified direction.

(ii)

Velocity = 100 ms^-1

Time = 10 minutes = 10 x 60 s = 600 s

Note: the unit of time is seconds (s) hence the minutes must be converted to seconds.

Displacement = 100 ms^-1 x 600 s

Displacement = 60,000 m

(i)

Pressure is the force exerted (normally) on a unit area.

(ii)

Since pressure is inversely proportional to area, the smaller the area, the greater the pressure hence the greatest pressure has the smallest area.

Area of rectangle = Length x Breadth

The S.I unit of length is metre hence convert the cm to m

The smallest area will have the dimension 8 cm and 20 cm

8 cm = $\frac{8}{100}$ = 0.08 m

20 cm = $\frac{20}{100}$ = 0.2 m

Smallest area = 0.08 m x 0.2 m = 0.016 m²

Mass = 5 kg

Acceleration due to gravity (g) = 10 m s^-2

Greatest Pressure = $\frac{\mathrm{5\; x\; 10}}{0.016}$ = 3125 pascals

(i)

Distinction between distance and displacement

(ii)

Change the speed from km/h to m/s which is the S.I unit for speed.

Speed = 250 km/h = $\frac{\mathrm{250\; x\; 1000\; m}}{\mathrm{1\; x\; 60\; x\; 60}}$ = 69.4 m/s

Time = $\frac{\mathrm{Distance}}{\mathrm{Speed}}$

Time = $\frac{10000}{69.4}$ = 144s