The velocity (v) and time (t) graph of a body in a straight line… | JEE Main 2020 (5 Sep, Shift 2)

Q28JEE Main 2020 · 5 SEP · SHIFT 2Medium

Graphs of Motion

The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is:

Show answer and solution

Answer: (d)

Distance = sum of magnitudes of areas under the $v$ - $t$ graph.
0-2 s: $\frac{1}{2}\times 2\times 4 = 4$ ; 2-3 s: $1\times 4 = 4$ ; 3 s to $\frac{13}{3}$ s: $\frac{1}{2}\times\frac{4}{3}\times 4 = \frac{8}{3}$
$\frac{13}{3}$ s to 6 s (below axis): $\frac{1}{2}\times\frac{5}{3}\times 2 = \frac{5}{3}$
Total $= 8 + \frac{8}{3} + \frac{5}{3} = \frac{37}{3}\text{ m}$ . So the answer is (d).

Report a mistake

More questions on Graphs of Motion

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The…JEE Main 2019 (10 Jan, Shift 2)
A particle starts from origin O from rest and moves with a uniform acceleration along the…JEE Main 2019 (8 Apr, Shift 2)
The velocity-time graphs of a car and a scooter are shown in the figure. (i) The…JEE Main 2018 (15 Apr, Shift 1)
All the graphs below are intended to represent the same motion. One of them does it…JEE Main 2018
Which graph corresponds to an object moving with a constant negative acceleration and a…JEE Main 2017 (8 Apr, Shift 1)
A body is at rest at x = 0. At t = 0, it starts moving in the positive x -direction with…JEE Main 2008 (AIEEE)
The displacement-time graph of a moving particle is shown below. The instantaneous…NEET 1994 (AIPMT)
Which of the following curve does not represent motion in one dimension?NEET 1992 (AIPMT)

Graphs of Motion question from JEE Main 2020 (5 Sep, Shift 2)

More questions on Graphs of Motion