Explain Total Quality Management (TQM). Also explain philosophical elements of TQM in detail.

(a): Time of flight

Step 1: Formula for time of flight
$T = \frac{2 u \sin \theta}{g}$

Step 2: Substitute values ($u = 10\ \mathrm{m/s}$, $\theta = 30^\circ$, $\sin 30^\circ = \frac{1}{2}$, $g = 10\ \mathrm{m/s^2}$)
$T = \frac{2 \times 10 \times \frac{1}{2}}{10}$

Step 3: Simplify
$T = \frac{10}{10} = 1\ s$

1 s

(b): Maximum height

Step 1: Formula for maximum height
$H = \frac{(u \sin \theta)^2}{2g}$

Step 2: Substitute values
$H = \frac{\left(10 \times \frac{1}{2}\right)^2}{2 \times 10} = \frac{5^2}{20} = \frac{25}{20}$

Step 3: Simplify
$H = 1.25\ m$

1.25 m

(c): Range

Step 1: Formula for range
$R = \frac{u^2 \sin 2\theta}{g}$

Step 2: Substitute values ($\sin 60^\circ = \frac{\sqrt{3}}{2}$)
$R = \frac{10^2 \times \frac{\sqrt{3}}{2}}{10} = \frac{100 \times \frac{\sqrt{3}}{2}}{10} = \frac{50\sqrt{3}}{10}$

Step 3: Simplify
$R = 5\sqrt{3}\ m$

5\sqrt{3 m}