the velocity of a train is 80.0km/h, due west. 1hr an 30min later, its velocity is 65.0km/h, due west. Whats the train average velocity
65-80/1.5= -10km/h^2 , due east
To find the average velocity of the train, we need to calculate the total displacement and the total time taken.
Given:
Initial velocity (v1) = 80.0 km/h (due west)
Final velocity (v2) = 65.0 km/h (due west)
Time elapsed (t) = 1 hour and 30 minutes = 1.5 hours
Step 1: Convert the time into hours
1 hour 30 minutes = 1.5 hours
Step 2: Calculate the total displacement
Since the velocities are in the same direction (west), we can assume the displacement is the difference between the initial and final velocities.
Displacement = v2 - v1 = 65.0 km/h - 80.0 km/h = -15.0 km/h (the negative sign indicates the westward direction)
Step 3: Calculate the total time taken
The total time taken is the sum of the initial time and the additional time elapsed.
Total time taken = t + 1.5 hours = 1.5 hours + 1.5 hours = 3 hours
Step 4: Calculate the average velocity
Average velocity = total displacement / total time taken
Average velocity = -15.0 km/h / 3 hours = -5.0 km/h
Therefore, the average velocity of the train is -5.0 km/h, westward.
To find the average velocity of the train, you need to consider the total displacement and the total time taken.
First, let's find the total displacement. The train initially moves at a velocity of 80.0 km/h due west, which means its displacement during the first 1 hour and 30 minutes is:
Displacement1 = velocity1 * time1
= 80.0 km/h * 1.5 hours
= 120 km west
Next, let's find the displacement during the remaining time. The train travels at a velocity of 65.0 km/h due west for the remaining time, which is:
Displacement2 = velocity2 * time2
= 65.0 km/h * 0.5 hours
= 32.5 km west
Now, let's calculate the total displacement:
Total Displacement = Displacement1 + Displacement2
= 120 km + 32.5 km
= 152.5 km west
Finally, we need to calculate the total time taken. The initial time of 1 hour and 30 minutes is equal to 1.5 hours, and the remaining time is 0.5 hours. Therefore:
Total Time = time1 + time2
= 1.5 hours + 0.5 hours
= 2 hours
Now we have the total displacement and the total time taken, we can calculate the average velocity:
Average Velocity = Total Displacement / Total Time
= 152.5 km west / 2 hours
= 76.25 km/h west
Hence, the average velocity of the train is 76.25 km/h due west.