A tricycle travel 7m east, then goes 5m south and turns west and travels 7m as shown below. (a) What is total distance traveled by the tricycle? (b) What is its distancement?
Answer (2)
Answer:0Step-by-step explanation:The product of 386 and 0 is 0, so if you multiply the outcome to the 238, it's still 0. ♀️
(a) Total distance traveled = 19 m(b) Displacement = 5 m southSolution:(a) Total distance traveled:The tricycle travels 7 m east.The tricycle then travels 5 m south.Finally, the tricycle travels 7 m west.To find the total distance, we sum up the individual distances: 7 m + 5 m + 7 m = 19 m(b) Displacement:We can represent the tricycle's movements as vectors. Let's define east as the positive x-direction and north as the positive y-direction.The first displacement vector is [tex]$$\vec{d_{1}} = 7\hat{i}$$[/tex] m (7 meters in the positive x-direction)The second displacement vector is [tex]$$\vec{d_{2}} = -5\hat{j}$$[/tex] m (5 meters in the negative y-direction)The third displacement vector is [tex]$$\vec{d_{3}} = -7\hat{i}$$[/tex] m (7 meters in the negative x-direction)The total displacement vector [tex]$$\vec{d}$$[/tex][tex]$$\vec{d}$$[/tex]d is the sum of the individual displacement vectors: [tex]$$\vec{d} = \vec{d_{1}} + \vec{d_{2}} + \vec{d_{3}} = (7\hat{i}) + (-5\hat{j}) + (-7\hat{i}) = -5\hat{j}$$[/tex] mThe magnitude of the displacement vector is the distance from the starting point to the ending point. In this case, the magnitude is simply 5 m (since the displacement is purely in the y-direction)
