Final answer:
The question appears to be about finding the displacement in a physics problem using the kinematic equation for a given initial velocity, final velocity, and acceleration. The displacement calculated with the provided values is approximately 64.29 meters.
Step-by-step explanation:
The provided information seems to be scattered and lacks a clear context or complete question. However, one piece of data, 'Solution for (a)', suggests we are dealing with a physics problem, perhaps related to kinematics, where initial velocity (vo), final velocity (v), and acceleration (a) are mentioned. A displacement (Δx) needs to be calculated given an initial velocity of 30.0 m/s, a final velocity of 0 m/s, and an acceleration of -7.00 m/s².
To find the displacement, we can use the kinematic equation:
Δx = vo² / (2 * |a|)
Substituting the given values:
Δx = (30.0 m/s)² / (2 * 7.00 m/s²)
Δx = 900 m²/s² / 14 m/s²
Δx = 64.29 meters
The displacement Δx is approximately 64.29 meters.