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Question

(a) A ball is dropped from a height of 30m. After striking the surface it rises to 23 of its height. Again it falls on the surface and this time it covered only 25 of its previous height. It continued for next two times and it only covered half of its previous height. Find the distance covered by the ball. 

(b) 
Which of the following inequalities are correct?

(i) 15<35

(ii) 35<15

(iii) 35>15

[4 MARKS]


Solution

Each part: 2 Marks


(a) After striking to the surface, the height gained by ball is 30m×23=20m.

Now it attained the height of 20m, height attained by ball after 2nd strike is 20×25=8m.

After 2nd strike, height attained by ball is 8×12=4.

So for 3rd strike, it falls from a height of 4m.

Again he attained half of the height of previous so this time it covers 2m.

So total distance covered by ball = 30+ 20+8+4+2 = 64.


(b) 
(i) 15<35 is incorrect

The following inequalities are correct:

(ii) 35<15

(iii) 35>15


Mathematics

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