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Question

Displacement - time curve of a particle moving along a straight line is shown. Tangents at A and B make angles 45 and 135 with positive x-axis respectively. The average acceleration of the particle during t=1,t=2 second is
1066290_3692d39ee3094f40b2df8cbf2a8195f0.png

A
2 m/s2
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B
1 m/s2
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C
1 m/s2
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D
Zero
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Solution

The correct option is A 2 m/s2
The slope at any instant of time in x1 graph gives velocity
initial velocity, u=tan45=1,t=1
final velocity, v=tan135=1,t=2
a=vuΔt=111=2ms2
a=2ms2

1486024_1066290_ans_46cd360de60642f8b18e4fbe83e8722f.png

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