a body travel a distance of 15 m from a to b and them moves 20 m at right angles to ab. calculate total distance covered and displacement.

Distance = 15+20 = 30m

Displacement = final position - initial position
= √(15²+20²)
= 25m (magnitude)
Direction
=atan(20/15)
=atan(4/3)
=53.13 °

To calculate the total distance covered, we need to calculate the sum of the distances traveled from point A to B and from point B to the final position.

1. Distance from A to B: 15 m (given)

2. Distance from B to the final position: 20 m (given)

Total distance covered = Distance from A to B + Distance from B to final position
= 15 m + 20 m
= 35 m

Therefore, the total distance covered is 35 meters.

To calculate the displacement, we need to find the straight-line distance from the initial position (point A) to the final position.

For this, we can use the Pythagorean theorem, as the body moves 15 meters in one direction and then 20 meters at a right angle. This creates a right triangle, with one leg being 15 meters and the other leg being 20 meters. The hypotenuse of the triangle represents the displacement.

Using the Pythagorean theorem:
Displacement^2 = (Distance from A to B)^2 + (Distance from B to final position)^2
= (15 m)^2 + (20 m)^2
= 225 m^2 + 400 m^2
= 625 m^2

Taking the square root of both sides:
Displacement = √(625 m^2)
= 25 m

Therefore, the displacement is 25 meters in a straight line from the initial position (point A) to the final position.