1. Understand the Problem:
* We're given the initial velocity (36 m/s).
* We're given the acceleration (60g, where 'g' is the acceleration due to gravity, approximately 9.8 m/s²).
* We need to find the distance traveled before coming to a complete stop (final velocity = 0 m/s).
2. Choose the Right Equation:
We can use one of the standard kinematic equations:
* v² = u² + 2as
where:
* v = final velocity (0 m/s)
* u = initial velocity (36 m/s)
* a = acceleration (-60g, since it's deceleration)
* s = distance traveled
3. Convert Acceleration to m/s²:
* a = -60g = -60 * 9.8 m/s² = -588 m/s²
4. Plug in the Values and Solve for 's':
* 0² = 36² + 2 * (-588) * s
* 0 = 1296 - 1176s
* 1176s = 1296
* s = 1296 / 1176
* s ≈ 1.10 meters
Therefore, a person traveling at 36 m/s with a constant deceleration of 60g will come to a complete stop after traveling approximately 1.10 meters.