Question

Figure shows velocity (v) - time (t) graph for the
rectilinear motion of a particle. The displacement of
particle from t = 6 s to t = 10 s is
v (ms)......

(1) 32 m
(3) 16 m
(2) 8 m
(4) 24 m​

Answer 1

16 m is the displacement

Answer 2

The correct answer is option (3) 16 m.

Given,

The velocity-time graph for the rectilinear motion of a particle.

To Find,

The displacement of the particle from t = 6 s to t = 10 s.

Solution,

The displacement of a particle is the area closed by the curve in the velocity time graph.

Now, from t = 6 s to t = 10 s the curve forms the shape of a triangle.

So, displacement will be equal to the area of the triangle

Displacement = Area of triangle

Displacement = 1/2*base*height

where base = 4 and height = 8

So,

Displacement = 1/2*4*8 = 16 m

Hence, the displacement of the particle is 16 m.

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