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A body covers 26,28,30 and 32 meters in \( 10^{t h}, 11^{t h}, 12^{t h} \) and \( 13^{t h} \) seconds respectively. The body starts

1. from rest and moves with uniform velocity
2. from rest and moves with uniform acceleration
3. with an initial velocity and moves with uniform acceleration
4. with an initial velocity and moves with uniform velocity

Correct answer: with an initial velocity and moves with uniform acceleration

Solution

The distances in successive seconds are 26, 28, 30, and 32 m, which increase by a constant 2 m each second. That is the signature of uniform acceleration, and since the 10th-second distance is already nonzero, the body must have had an initial velocity.

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