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Question

The position of the particle moving on X-axis is given by, X=At3+Bt2+Ct+D. The numerical values of A,B,C,D are 1,4,2 and 5 respectively and SI units are used. Find the average velocity during the interval t=0 to t=4 s.

A
25 ms
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B
35 ms
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C
40 ms
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D
30 ms
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Solution

The correct option is D 30 ms
X=At3+Bt2+Ct+D
Position at t=0 is X=D=5 m
Position at t=4 s is (1×43+4×422×4+5)m=125 m
Thus, the displacement during 0 to 4 s is (1255) m=120 m
Average velocity, vav=Displacementtime=1204=30ms

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