You are traeling back and forth on a 10m straight lane. You go forth in 10 sec and back in 4 seconds,forwards again in 5 s and back again in 1 seconds. what is ur displacement. and what is your average speed

To determine the displacement and average speed, we need to calculate the distance covered in each direction.

Distance is calculated using the formula: distance = speed x time.

First, let's calculate the distance traveled in the first forward motion:

distance1 = speed1 x time1
distance1 = speed1 x 10 seconds

Next, let's calculate the distance traveled in the first backward motion:

distance2 = speed2 x time2
distance2 = speed2 x 4 seconds

In the same way, we can calculate the distance for the second forward motion and the second backward motion:

distance3 = speed3 x time3
distance3 = speed3 x 5 seconds

distance4 = speed4 x time4
distance4 = speed4 x 1 second

To find the total displacement, we need to consider the direction of motion. If the forward direction is taken as positive and the backward direction is taken as negative, we can add up the distances in the forward direction and subtract the distances in the backward direction:

total displacement = (distance1 + distance3) - (distance2 + distance4)

To find the average speed, we divide the total distance traveled by the total time taken:

average speed = total distance / total time

By using the given information and substituting the values, the displacement and average speed can be calculated.