If the value of acceleration due to gravity 'g' is reduced to half, the time of flight T of projectile becomes:
Correct answer: C. 2T
- A. T/2
- B. T/4
- C. 2T
- D. 4T
Explanation
2T Explanation: The time of flight (T) of a projectile is given by the formula: T = 2v₀sin(θ) / g, where v₀ is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. If 'g' is reduced to 'g/2', we can substitute this into the formula: T' = 2v₀sin(θ) / (g/2). This simplifies to T' = 4v₀sin(θ) / g, which can be rewritten as T' = 2 * (2v₀sin(θ) / g) = 2T. Therefore, the time of flight doubles.
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