a train goes forward at a speed of 1m/s for 20 seconds. Then it stops abd goes backward at a speed od 0.5 m/s for 4 seconds. After both movements are completed, how far is the train located from its starting point.(note: we are asking for the train's final location, not the distance that it traveled.)

Question

a train goes forward at a speed of 1m/s for 20 seconds. Then it stops abd goes backward at a speed od 0.5 m/s for 4 seconds. After both movements are completed, how far is the train located from its starting point.(note: we are asking for the train's final location, not the distance that it traveled.)

Answer 1

To find the train's final location, we need to determine the distances covered during both movements and then subtract the distance traveled in the backward direction.

First, let's calculate the distance covered in the forward direction. The formula to calculate distance is:

Distance = Speed × Time

The forward speed of the train is 1 m/s, and it moves for 20 seconds. Therefore, the distance covered in the forward direction is:

Distance_forward = Speed_forward × Time_forward
= 1 m/s × 20 s
= 20 meters

Next, let's calculate the distance covered in the backward direction. The backward speed of the train is 0.5 m/s, and it moves for 4 seconds. So, the distance covered in the backward direction is:

Distance_backward = Speed_backward × Time_backward
= 0.5 m/s × 4 s
= 2 meters

Finally, to find the train's final location, we subtract the distance covered in the backward direction from the distance covered in the forward direction:

Final location = Distance_forward - Distance_backward
= 20 meters - 2 meters
= 18 meters

Therefore, the train is located 18 meters from its starting point after both movements are completed.

Answer 2

To determine the train's final location, we need to calculate the net displacement from its starting point.

Step 1: Calculate the forward distance.
The train goes forward at a speed of 1 m/s for 20 seconds. Since the speed is constant, we can use the formula: Distance = Speed * Time.
Forward Distance = 1 m/s * 20 s = 20 meters.

Step 2: Calculate the backward distance.
The train goes backward at a speed of 0.5 m/s for 4 seconds.
Backward Distance = 0.5 m/s * 4 s = 2 meters.

Step 3: Calculate the net displacement.
Since the train is moving forward and then backward, the net displacement is the difference between the forward distance and backward distance.
Net Displacement = Forward Distance - Backward Distance.
Net Displacement = 20 meters - 2 meters = 18 meters.

Therefore, the train is located 18 meters away from its starting point after both movements are completed.