An object falls from a window. The distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. The object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. Assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds?
Since distance varies jointly with gravity and the square of time, write d = kgt². Using the given values, k = 5.929 ÷ (9.8 × 1.1²) = 0.5. For 2 seconds, d = 0.5 × 9.8 × 2² = 19.6 meters, so the correct choice is 19.6 m.
AI-written and checked against the verified answer.