A car starts from rest and moves around a circular track of radius 32.0 m. Its speed increases at the constant rate of `0.600m//s^(2)`. (a) What is the magnitude of its net linear acceleration 15.0 s later? (b) What angle does this net acceleration vector make with the car's velocity at this time?

Explanation

To solve the problem, we will break it down into two parts as given in the question.

### Part (a): Magnitude of Net Linear Acceleration

1. **Identify Given Values**:
- Radius of the circular track, \( R = 32.0 \, \text{m} \)
- Tangential acceleration, \( a_T = 0.600 \, \text{m/s}^2 \)
- Time, \( t = 15.0 \, \text{s} \)
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