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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 65.6 metres in 4 seconds. a) Find a formula for d in terms of t b) Calculate the distance the ball falls in 14 seconds c) Calculate the time taken for the ball to fall 3214.4 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 841m the pressure is 0.98 atmospheres. a) Find a formula for p in terms of h b) What is the pressure at 576m (to 2 d.p.)? c) At what height (to 2 d.p.) is the pressure 0.47?  
Question 3: Y is inversely proportional to the cube of X. When X = 3, Y = 0.3. a) Find a formula for Y in terms of X b) Calculate Y when X = 13 (to 4 d.p.) c) Calculate X when Y = 17 (to 2 d.p.)  
Question 4: A is directly proportional to the cube root of B. When A = 5.5, B = 10.648. a) Find a formula for A in terms of B b) Calculate A when B = 35.937. c) Calculate B when A = 23.75.  
Question 5: P is directly proportional to the square of Q. Complete the table.

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Question 1: a) d=4.1t^2 b) 803.6 metres c) 28 seconds  
Question 2: a) p= \Large {\frac{28.42}{\sqrt{h}}} b) 1.18 atmospheres c) 3656.39m  
Question 3: a) Y= \Large {\frac{8.1}{X^3}} b) Y = 0.0037 c) X = 0.78  
Question 4: a) A =2.5 \sqrt[3]{B} b) 8.25 c) 857.375  
Question 5:
