The velocity of one vehicle is 40 m/s towards the east and the velocity of the other vehicle is 30 m/s towards the west. If both the car starts from the same point at the same time, what will be the distance between them after 2 minutes? What distance will each of them travel during that time?
1 Answer
Solution:
Given,
Let, the velocity of the vehicle 'A', VA = 40 m/s
the velocity of the vehivle 'B', VB = 30 m/s
Distance traveled by (A) , SA = ?
Distance traveled by (B), SB = ?
Time take (t) = 2 minutes = 120 s
Now, for vehicle 'A', we have
VA = 40 m/s
Or, SA = VA × t = 40 × 120 = 4800 m
∴ the distance traveled by car 'A' is 4800 m due east.
Now, for vehicle 'B', we have
VB = 30 m/s
Or, SB = VB × t = 30 × 120 = 3600 m
∴ the distance traveled by car 'B' is 3600 m due west.
Finally, the distance between them after 2 min = SA + SB = 4800 m + 3600 m = 8400 m
- If a body changes its position with respect to the surrounding objects, then the body is said to be in motion.
- If a body does not change its position with respect to the surrounding objects, then the body is said to be at rest.
- The fixed point, about which we describe the motion of a body is called the reference point.
- The physical quantity having only magnitude but not a fixed direction is called a scalar quantity.
- The physical quantity having both magnitude and direction is called a vector quantity.
- Distance is the total length between two points. Its SI unit is m.
- Displacement is the shortest between the initial and final points. Its SI unit is also a meter.
- The rate of the change of distance is called speed and the rate of change of the displacement is called the velocity.
- Speed is a scalar quantity but velocity and acceleration is a vector quantity.
- If a body covers an equal distance in an equal interval of time, then the motion of the body is called uniform motion.
- If a body doesn't cover an equal distance in an equal interval of time, then the motion of the body is called a variable or non-uniform motion.
- The motion of a body relative to another object or the reference frame is called relative motion.