A particle covers the first half of a distance with speed v. The remaining half is covered in two equal time intervals with speeds 2v and 4v. The average speed is:
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Question

A particle covers the first half of a distance with speed v. The remaining half is covered in two equal time intervals with speeds 2v and 4v. The average speed is:

G1 Physics · Accepted Answer

Let total distance be D. First-half time: t₁ = D/(2v). In the remaining half, equal time intervals with speeds 2v and 4v give average speed 3v for that part. So t₂ = (D/2)/(3v) = D/(6v). Total time = D/(2v) + D/(6v) = 2D/(3v). Average speed = D / [2D/(3v)] = 3v/2.