The car is traveling at a speed of 30 m/s. The driver then applies the brakes at A and thereby reduces the speed at the rate of at (t) m/s², where t is in seconds. (Figure 1) Figure 100 m 45° <1 of 1 Part A Determine the magnitude of the acceleration of the car just before it reaches point C on the circular curve. It takes 15 s for the car to travel from A to C. Express your answer to three significant figures and include the appropriate units. a = μA Value Submit Request Answer < Return to Assignment C Sw ? Units Provide Feedback
The car is traveling at a speed of 30 m/s. The driver then applies the brakes at A and thereby reduces the speed at the rate of at (t) m/s², where t is in seconds. (Figure 1) Figure 100 m 45° <1 of 1 Part A Determine the magnitude of the acceleration of the car just before it reaches point C on the circular curve. It takes 15 s for the car to travel from A to C. Express your answer to three significant figures and include the appropriate units. a = μA Value Submit Request Answer < Return to Assignment C Sw ? Units Provide Feedback
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Transcribed Image Text:The exercise involves calculating the acceleration of a car moving along a curved path. Below is a transcription of the relevant information and description of the accompanying diagram.
### Problem Statement
The car is traveling at a speed of 30 m/s. The driver then applies the brakes at point A and thereby reduces the speed at the rate of \( a_t = \left(-\frac{1}{t}\right) \, \text{m/s}^2 \), where \( t \) is in seconds.
### Task
**Part A:**
Determine the magnitude of the acceleration of the car just before it reaches point C on the circular curve. It takes 15 seconds for the car to travel from A to C.
**Requirements:**
Express your answer to three significant figures and include the appropriate units.
### Diagram Description
The diagram depicts a road segment with a curvature. The path is marked with three key points: A, B, and C. The following details are provided:
- The angle at point B is \( 45^\circ \).
- The distance from A to B is 100 meters.
- The curve segment from B to C spans across a 5 meter wide section.
The diagram illustrates the car traveling along this curved path, highlighting the braking process between points A and C.
To solve the problem, use the provided initial speed, deceleration function, and time duration to compute the car's acceleration as it approaches point C.
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