nadia 370 m above the street determine the time required for a penny to free fall from the deck of to the street below.
Answer (1)
We can use the following kinematic equation to solve this problem: d = v₀t + (1/2)at² Where: - d = distance (370 m) - v₀ = initial velocity (0 m/s, since the penny starts from rest) - a = acceleration due to gravity (approximately 9.8 m/s²) - t = time (what we want to find) Since the initial velocity is 0, the equation simplifies to: d = (1/2)at² Let's solve for t: Multiply both sides by 2: 2d = at² Divide both sides by a: (2d)/a = t² Take the square root of both sides: t = √[(2d)/a] Now, let's plug in the values: t = √[(2 * 370 m) / 9.8 m/s²]t = √(740 m / 9.8 m/s²)t ≈ √75.5 s²t ≈ 8.7 s Therefore, it would take approximately 8.7 seconds for the penny to free fall from the deck to the street below. Keep in mind that this calculation ignores air resistance, which would significantly affect the actual fall time of a penny.
