An object a is moving 10m/s and B is moving with 5m/s in the same direction of positive x-axis. A is 100m behind B has shown. Find time taken by a to meet b
Va*t = Vb*t + 100.
10t = 5t + 100,
t = 20 s.
time=relative distance/relative speed=100m/(10-5)m/s= 20 sec
To find the time taken by object A to meet object B, we need to calculate the relative velocity between the two objects.
The relative velocity is the difference in velocities of A and B, taking into account their directions. Since B is moving in the positive x-axis direction, and A is moving in the same direction, the relative velocity between them is the difference between their velocities:
Relative velocity = Velocity of A - Velocity of B
= 10 m/s - 5 m/s
= 5 m/s
Now, we can calculate the time taken for A to meet B using the equation:
Time = Distance / Relative Velocity
Since A is 100m behind B, the distance between them is 100m. Therefore, plugging the values into the equation:
Time = 100m / 5 m/s
= 20 seconds
So, it will take 20 seconds for object A to meet object B.