A race car negotiates a curve of radius 50.0 m on a flat road. What is its angular displacement when it covers a linear distance of 78.5 m?

Explanation

To solve the problem of finding the angular displacement of a race car negotiating a curve, we can follow these steps:

### Step 1: Identify the given values.
- Radius of the curve (R) = 50.0 m
- Linear distance covered (L) = 78.5 m

### Step 2: Use the relationship between linear distance and angular displacement.
The relationship between linear distance (L), radius (R), and angular displacement (θ) in radians is given by the formula:
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