Question

A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is

• A. 1 m/sec
• B. 10 m/sec
• C. 5 m/sec
• D. 2 m/sec

Answer 1

The correct option is A 1 m/sec

Distance travelled in 4 sec
$24=4u+\frac{1}{2}a\times 16...\left(i\right)$
Distance travelled in total 8 sec.
$88=8u+\frac{1}{2}a\times 64...\left(ii\right)$
After solving (i)and (ii),we get u=1 m/s.