A car has an initial speed of 30 m/s and starts to decelerate at a rate of 2.5 m/s2. How long will it take for the car to stop? 4.8 s O 24 s O 75 s O 12 s

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Physics Problem: Deceleration of a Car
#### Question:
A car has an initial speed of 30 m/s and starts to decelerate at a rate of 2.5 m/s². How long will it take for the car to stop?

#### Options:
- 4.8 s
- 24 s
- 75 s
- 12 s

This question is designed to test your understanding of the concepts of speed, deceleration, and time. 

### Explanation:
To solve this problem, you can use the equation of motion for deceleration:

\[ v_f = v_i + at \]

Where:
- \( v_f \) is the final velocity (0 m/s, since the car comes to a stop)
- \( v_i \) is the initial velocity (30 m/s)
- \( a \) is the acceleration (here it will be negative because it's deceleration, -2.5 m/s²)
- \( t \) is the time in seconds

We need to solve for \( t \):

\[ 0 = 30 + (-2.5)t \]

Rearranging and solving for \( t \):

\[ 2.5t = 30 \]

\[ t = \frac{30}{2.5} \]

\[ t = 12 \, \text{seconds} \]

Thus, the car will take 12 seconds to come to a complete stop. The correct option is:

- 12 s
Transcribed Image Text:### Physics Problem: Deceleration of a Car #### Question: A car has an initial speed of 30 m/s and starts to decelerate at a rate of 2.5 m/s². How long will it take for the car to stop? #### Options: - 4.8 s - 24 s - 75 s - 12 s This question is designed to test your understanding of the concepts of speed, deceleration, and time. ### Explanation: To solve this problem, you can use the equation of motion for deceleration: \[ v_f = v_i + at \] Where: - \( v_f \) is the final velocity (0 m/s, since the car comes to a stop) - \( v_i \) is the initial velocity (30 m/s) - \( a \) is the acceleration (here it will be negative because it's deceleration, -2.5 m/s²) - \( t \) is the time in seconds We need to solve for \( t \): \[ 0 = 30 + (-2.5)t \] Rearranging and solving for \( t \): \[ 2.5t = 30 \] \[ t = \frac{30}{2.5} \] \[ t = 12 \, \text{seconds} \] Thus, the car will take 12 seconds to come to a complete stop. The correct option is: - 12 s
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