Question

During which two time intervals does the particle undergo equal displacement?

AB and BC
AB and EF
BC and DE
CD and DF

Answer 1

Correct Answer:

AB & DE

Step-by-step explanation:

I had just taken this test on Plato/Edmentum (physical science) and gotten the question correct

Answer 2

BC and DE

Step-by-step explanation:

In the given figure, the velocity time graph is shown. We know that the area under v-t curve gives the displacement of the particle.

Area under AB,
`d_1=(1)/(2)* 2* 10=10\ m`

Area under BC,
`d_2=(1)/(2)* 2* 4=4\ m`

Area under CD,
`d_3=(1)/(2)* 2* 7=7\ m`

Area under DE,
`d_4=(1)/(2)* 2* 4=4\ m`

Area under EF,
`d_5=(1)/(2)* 2* 3=3\ m`

So, form above calculations it is clear that, during BC and DE undergo equal displacement. Hence, the correct option is (c) "BC and DE = 4 meters".