Home Physics Motion in a Straight Line Position, Path Length and Displacement The speed-time graph of a particle moving al…
Physics Motion in a Straight Line Position, Path Length and Displacement MCQ (Single Correct)

The speed-time graph of a particle moving along a fixed direction is shown in the figure. The distance traversed by the particle between t = 2 s the particle t = 6 s is

A
26 m
B
36 m
C
46 m
D
56 m

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Text Solution

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The correct answer is:
B

Let be the distances travelled by particle in time 2 to 5 s and be the distance travelled by particle in time 5 to 6s.

Total distance travelled, S=

During the time interval 0 to 5s, the accelerations of particle is equal to the slope of line OA.

i.e.,

Velocity at the end of 2s will be.

V = 0 +

Taking motion of particle for time interval 2s to 5s,

Here, u =

Then.

Accelerations of the particle during the motion t = 5 s to t = 10s is

A = Slope of line AB =

Taking motions of the particle for the time 1s (i.e. 5s to 6s),

Here, u = 12m ,a =- t = 1s ,

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