A boy travels a distance of 10 m towards south and then he runs towards east and travels 12 m in that direction. Calculate (i) the total distance travelled by the boy and (ii) the displacement from his initial position

Answer 1

this is a right triangle
distance is how far he ran 10 + 12 = 22 m
displacement is how far he is from the start and is a vector so also has direction.
how far from start = hypotenuse = sqrt (100 + 144) = 15.6 m
tangent of angle south of east = 10/12
angle south of east = 39.8 degrees
If using a compass angle clockwise from north = 90 + 39.8

Answer 2

A ball is thrown vartically upward it rises upto a height of 10 m,and comes back to the initial position.calculate:
1.the total distance covered by the ball
2. that displacement of the ball