Question
A constant power machine pulls a block on a smooth horizontal surface. Which one of the following correctly describes the relation between speed of the block (v) and time (t)?
NDA
General Ability
General Science
2026
NDA 2026 (Phase 1)
NDA General Ability Question (2026) — Solution
Options
- A. v t
- B. v t
- C. v t^2
- D. v t^ 3/2
Answer
B. v t
Step-by-step solution
Power is given by P = Fv Using Newton's second law, F = m dv dt Substituting this into the power equation: P = m ( dv dt )v v dv = P m dt Integrating both sides, assuming the block starts from rest: _ 0 ^ v v dv = _ 0 ^ t P m dt v^2 2 = P m t v = 2P m t Since P and m are constants, v t Answer: v t
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