Question

- 18

Answer 1

Answer:

Option A. A: 49 m: B: 30.5 m

Step-by-step explanation:

Ball A rolls 4 meters in the 1st second, 9 meters in the 2nd second, 14 meters in the 3rd second, and so on.

We can see that after each second the total distance traveled by ball increases by 5 meters.

So, we can solve this as an arithmetic sequence that is $a+(n-1)d$

For ball A, a = 4 n = 10 d = 5

Ball B rolls 3.5 meters in the 1st second, 6.5 meters in the 2nd second, 9.5 meters in the 3rd  second, and so on.

For ball B, a = 3.5 n = 10 d = 3

For ball A:

After 10 seconds, the distance will be $4+(10-1)5$

= $4+45$ = 49 meters

For ball B:

After 10 seconds, distance covered will be $3.5+(10-1)3$

= $3.5+27$ = 30.5 meters.

Hence, the answer is option A.

Answer 2

Answer:

a.  A.  49m  B 30.5 m

Step-by-step explanation:

If I have understood the question correctly:

Ball A:

After each second the total distance travelled increases by 5 meters.

Ball A: after 10 seconds it has rolled 4 + (10-1) * 5 = 49m

Ball B:  after 10 seconds it has rolled 3.5 + (10-1)* 3 =  30.5 m.