A ball is thrown vertically upwards with a velocity of 15\(ms^{-1}\). Calculate the maximum height reached. \([g = 10ms^{-2}]\)

Find the distance between the points (2, 5) and (5, 9).

Find \(\lim\limits_{x \to 3} (\frac{x^{3} + x^{2} - 12x}{x^{2} - 9})\)

Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)

Express (14N, 240°) as a column vector.