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=4s.
A
25ms
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B
35ms
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C
40ms
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D
30ms
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Solution
The correct option is D30ms X=At3+Bt2+Ct+D
Position at t=0 is X=D=5m
Position at t=4s is (1×43+4×42−2×4+5)m=125m
Thus, the displacement during 0 to 4s is (125−5)m=120m ∴ Average velocity, vav=Displacementtime=1204=30ms