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

The motion of an airplane is represented by the velocity-time graph as shown in the figure. The distance covered by the airplane in the first 30.5 seconds is ______ km.

Asked in JEE Main 23rd Jan 1st Shift 2025 · Area under a graph

• (1) 6
• (2) 9
• (3) 3
• (4) 12

Step-by-step solution

Why the other options are wrong

• (1) Uses the starting speed 200 m/s for the whole 30 s (200×30 = 6000 m).
• (2) Uses a mean of 300 m/s for the whole 30 s, as if the speed rose steadily throughout.
• (3) Takes the whole area as a single triangle 1/2×200×30 = 3000 m.

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