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Question 1: A ball falls vertically after being dropped. The ball falls a distance of d metres in a time of t seconds. d is directly proportional to the square of t. The ball falls 12.3 metres in 3 seconds. a) Find a formula for d in terms of t b) Calculate the distance the ball falls in 15 seconds c) Calculate the time taken for the ball to fall 118.9 metres  
Question 2: The pressure p (measured in atmospheres) acting on a hotair balloon is inversely proportional to the square root of the height h in metres. At a height of 2025m the pressure is 0.63 atmospheres. a) Find a formula for p in terms of h b) What is the pressure at 625m (to 2 d.p.)? c) At what height (to 2 d.p.) is the pressure 0.91?  
Question 3: Y is inversely proportional to the cube of X. When X = 9, Y = 0.6. a) Find a formula for Y in terms of X b) Calculate Y when X = 19 (to 4 d.p.) c) Calculate X when Y = 13 (to 2 d.p.)  
Question 4: A is inversely proportional to the cube of B. When A = 8, B = 6.859. a) Find a formula for A in terms of B b) Calculate A (to 3 d.p.) when B = 29.791. c) Calculate B (to 3 d.p.) when A = 8.3.  
Question 5: P is directly proportional to the square of Q. Complete the table.

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Question 1: a) d=4.1t b) 61.5 metres c) 29 seconds  
Question 2: a) p= \Large {\frac{28.35}{\sqrt{h}}} b) 1.13 atmospheres c) 970.56m  
Question 3: a) Y= \Large {\frac{437.4}{X^3}} b) Y = 0.0638 c) X = 0.43  
Question 4: a) A = \Large {\frac{15.2}{\sqrt[3]{B} }} b) 4.903 c) 6.142  
Question 5:
