A football, at rest on the ground, is kicked with an initial velocity of 10 m/s at a launch angle of 30°. Calculate its total flight time, assuming that air resistance is negligible.
Correct answer: B. 1 s
- A. 0.5 s
- B. 1 s
- C. 1.7 s
- D. 2 s
- E. 4 s
Explanation
The total flight time of a projectile is determined by the formula: T = (2u sinθ) / g, where 'u' is the initial velocity, 'θ' is the launch angle, and 'g' is the acceleration due to gravity. For this question, the initial velocity (u) is 10 m/s, the launch angle (θ) is 30°, and g is 10 m/s². Calculating this gives:T = (2 x 10 x sin(30°)) / 10Since sin(30°) is 0.5, the equation simplifies to T = (2 x 10 x 0.5) / 10 = 1 s.Therefore, the correct total flight time is 1 s. The incorrect options arise from miscalculating or misunderstanding the application of the formula.
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