SOLUTION: Modern Oil tankers weigh more than a half - million tons and have a length of up to one fourth - mile. Such massive ships require a distance of 5.0 km ( about 3.0 mi ) And a tim

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Modern Oil tankers weigh more than a half - million tons and have a length of up to one fourth - mile. Such massive ships require a distance of 5.0 km ( about 3.0 mi ) And a tim      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1181762: Modern Oil tankers weigh more than a half - million tons and have a length of up to one fourth - mile. Such massive ships require a distance of 5.0 km ( about 3.0 mi ) And a time of 20 minutes to come to a stop from top speed of 30 km/h
A. What is the magnitude of such a ship's average acceleration in m/s²
and coming to a stop ?
B. What is the magnitude of the ship's average velocity in m/s ?
Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Here's how to calculate the average acceleration and velocity:
**A. Average Acceleration**
1. **Convert units:**
* Initial speed (vᵢ) = 30 km/h * (1000 m/km) * (1 h/3600 s) = 8.33 m/s
* Final speed (v_f) = 0 m/s (since it comes to a stop)
* Time (t) = 20 minutes * (60 s/minute) = 1200 s
2. **Calculate average acceleration:**
Average acceleration (a) = (v_f - vᵢ) / t = (0 m/s - 8.33 m/s) / 1200 s ≈ -0.00694 m/s²
3. **Magnitude of acceleration:**
The magnitude is the absolute value of the acceleration. |a| ≈ 0.00694 m/s²
**B. Average Velocity**
1. **Calculate average velocity:**
Average velocity (v_avg) = (vᵢ + v_f) / 2 = (8.33 m/s + 0 m/s) / 2 ≈ 4.17 m/s
**Answers:**
* **A. Magnitude of average acceleration:** Approximately 0.00694 m/s²
* **B. Magnitude of average velocity:** Approximately 4.17 m/s