A ball is released from the ceiling of height 5 m from the floor. Each time the ball hits the floor it bounces vertically to a height that is 2/3 of its previous height. Find a) the height the ball...

A ball is released from the ceiling of height 5 m from the floor. Each time the ball hits the floor it bounces vertically to a height that is 2/3 of its previous height. Find
a) the height the ball reaches at its third bounces.
b) the total distances travelled by the ball before its eleventh bounces.4.a)A group of students decided to collect old newspapers to raise fund for charity.On the first day, they collected 41 kg of old newspapers. In each subsequent day,they collected 19 kg of old newspapers more than the previous day. Calculate the total mass of old newspapers collected in the first five weeks.b)In a nursery, a flower plant grows 2.15 cm in the first week. For each subsequentweek, it grows by 5% taller than the previous week.i) Write down the pattern for the successive growth of the flower plant in thefirst n weeks.
ii) How much does the flower plant grow in 15 weeks? Give your answer in cm correct to two decimal places.5.a)In the design of a stadium, there are 600 seats in the first row. The number of seatsin each subsequent row is always 60 seats more than that of the previous row. If the stadium is designed for a seating capacity of 70800, determine the number of rows it has in the design.b)Cylindrical water pipes are stacked in a pile with 75 pipes in the first layer, 74pipes in the second layer, 73 pipes in the third layer and so on.i) Find the number of pipes in the 30th layer.
ii) If the pile has 40 layers, calculate the total number of pipes in the pile.