Physicshard · Past Paper
A particle is moving in a straight line with initial velocity u and uniform acceleration a. If the sum of distances in t-th and (t+1)-th seconds is 100m, then u + at is:
A100 m/s
B50 m/s
C25 m/s
D200 m/s
✓ Correct Answer: B — 50 m/s
S_t + S_t+1 = [u + a/2(2t-1)] + [u + a/2(2(t+1)-1)] = 2u + 2at = 100. So u + at = 50.
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