Question Detail
Question
For a projectile launched on level ground, the total time of flight T is given by which formula? (v₀ is initial speed, θ₀ is launch angle, g is acceleration due to gravity)
Correct Answer
Option B is the correct answer.
Detailed Explanation
The total time of flight is twice the time to reach the maximum height (t_up = v₀ sin θ₀ / g). Therefore, T = 2 * (v₀ sin θ₀ / g) = (2v₀ sin θ₀)/g. This is the time until the projectile returns to its initial launch height.
Hint
The time to reach the maximum height depends on the initial vertical velocity. The total trip up and down takes twice that long.