How far do you fall in 4.0 seconds?
What is the distance you fall in 4.0 seconds when accelerating at 9.8 m/s^2 due to gravity?
According to my calculations, you will fall until you are stopped by an equal force.
Calculation of Distance Fallen:
Time: 4.0 seconds To calculate the distance fallen when accelerating at 9.8 m/s^2 for 4.0 seconds, we can use the kinematic equation: \[ d = \frac{1}{2} \cdot g \cdot t^2 \] Where: - \( d \) is the distance fallen - \( g = 9.8 \) m/s^2 is the acceleration due to gravity - \( t = 4.0 \) seconds is the time Substitute the values into the equation: \[ d = \frac{1}{2} \cdot 9.8 \cdot 4^2 \] \[ d = \frac{1}{2} \cdot 9.8 \cdot 16 \] \[ d = 0.5 \cdot 9.8 \cdot 16 \] \[ d = 4.9 \cdot 16 \] \[ d = 78.4 \text{ meters} \] Therefore, you will fall approximately 78.4 meters in 4.0 seconds when accelerating at 9.8 m/s^2 due to gravity. This distance represents the free fall motion under the influence of gravity until the opposing force, such as air resistance or ground contact, stops the fall.