Q.

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato.
The other potatoes are arranged 3 m apart in a straight line, with a total of ten potatoes, as shown in the figure.

A competitor starts from the bucket, picks up the nearest potato, runs back to the bucket to drop it in, then returns to pick up the next potato.
This process continues until all the potatoes are in the bucket

 

Based on the above information answer the following questions:

 

(ii) If the X-axis represents the complete trip from bucket to nth potato and  Y-axis represents the cumulative distance covered by the girl, then find the Y-coordinates of the 10th potato.

1 350  
2 370  
3 330  
4 340  

Ans.

(2)

Sn=n/2[2a+(n-1)d]S10=10/2[2(10)+(10-1)6]=5[20+54]=5×74=370 m

 

So the y-coordinate of the 10th potato is 370
and the point will be (10, 370).