Ranking Task Velocity-time graphs for six toy robots that are traveling along a

Question

Ranking Task Velocity-time graphs for six toy robots that are traveling along a straight path are shown. All graphs have the same time and velocity scales. Rank the situations on the basis of the distance traveled during these intervals. If the situations are all equal but not zero, state that. If the distances are all equal to zero, state that. If it is not possible to determine a ranking, state that. Explain your reasoning in short concise sentences. C AVelocity A AVelocity B AVelocity Time Time Time E AVelocity F AVelocity D AVelocity Time Time Time

Explanation / Answer

Assuming the scale as: 1 division = 1 unit for both velocity and time scales

Now, distance travlled is calculated by Area of the graph as below:

(A) Area = 1 x 5 = 5 units

(B) Area = 0.5 x 1.5 x 5 = 3.75 units

(C) Area = 0.5 x 1.75 x 5 = 4.375 units

(D) Area = 1.5 x 5 = 7.5 units

(E) Area = 0.5 x 2 x 5 = 5 units

(F) Area = 0.5 x 1 x 5 = 2.5

Answer: F < B < A = E < C < D

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