Question

05. A ball falls 8metre in the first second of its motion ,24 metre in the second, 40 metre in the third
and so on. How long will it take to fall 2,048 m?
PLEASE GIVE CORRECT ANSWER ONLY IF U GIVE WRONG I LL REPORT U AND IF U GIVE TRUE I LL FOLLOW AND MARK U BRAINLIST☺️​

Answer 1

Answer:

The AP is 8, 24, 40,..., and the sum is 2048.

We have to determine n.

Here a = 8, d = 16

Since, Sn = 2048, we have

2048 = begin mathsize 12px style straight n over 2 end style [2 x 8+(n - 1)16]

2048 = n [8 + 8n - 8]

2048 = 8n2

n2 = 256 i.e. n = 16

(as n being number of terms, it can't be negative)

Hence, the body will take 16 seconds to fall 2048 metres.