Practice portal › Motion in a Straight Line › Reading Motion Graphs: Slopes and Areas

Given below are two statements. Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time. In the light of the given statements choose the correct answer from the options given below.

Asked in JEE Main 8th April 2nd Shift 2023 · Area under a graph

• (1) Statement I is correct but Statement II is false.
• (2) Both Statement I and Statement II are true.
• (3) Both Statement I and Statement II are false.
• (4) Statement I is incorrect but Statement II is true.

Step-by-step solution

Why the other options are wrong

• (1) Accepts the v–t area as distance and rejects II, though ∫ a dt = Δ v is exact.
• (2) Accepts I; the v–t area is the displacement, and it differs from the distance whenever the velocity reverses.
• (3) Rejects II, which is exact.

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.