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. $10 \mathrm {~m} / \mathrm { sec }$
• C. 5 m/sec
• D. 2 m/sec

Answer 1

Answer: (A)

1 m/sec

Answer 2

Distance travelled in 4 sec

$24 = 4 u + \frac { 1 } { 2 } a \times 16$ …(i)

Distance travelled in total 8 sec

$88 = 8 u + \frac { 1 } { 2 } a \times 64$ …(ii)

After solving (i) and (ii), we get $u = 1$ m/s.