A car is travelling along a circular curve that has a radius of `50m` . If its speed is `16m//s` and is increasing uniformly at `8m//s^(2)` . Determine the magnitude of its acceleration at this instant.

Explanation

To determine the magnitude of the acceleration of a car traveling along a circular curve, we need to calculate both the tangential and radial (centripetal) accelerations, and then combine them to find the net acceleration.

### Step-by-Step Solution:

1. **Identify Given Values**:
- Radius of the circular path (r) = 50 m
- Speed of the car (v) = 16 m/s
- Tangential acceleration (a_t) = 8 m/s²
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