Question

For a particle moving along any arbitrary path r, v and a are position, velocity and acceleration respectively.
Choose the incorrect statement from above attached image.
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Answer 1

Answer:

Option b.  is wrong

∫|v|dt gives the distance as we are integrating the speed (|v|) and not the displacement

displacement = ∫v dt

Answer 2

Answer:

From the given statement, option b) is incorrect.

Explanation:

1. Speed is the ratio of distance and time. Therefore, distance will be equal to the product of speed and time. Thus option a) is correct.

2. Displacement is the difference between the final and initial position of an object. It is not equal to |v|dt. Thus option b) is incorrect.

3. Velocity is acceleration divided by time. Thus option c) is correct.

4. We can obtain the speed of the particle by dividing distance by time. Thus option d) is correct.

From the given statement, option b) is incorrect.