Q.
A particle is moving, with a velocity of v=3+6t+9t2cms−1 The displacement of the particle in the interval t = 5 to t = 8 sec is
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a
1352 cm
b
1287 cm
c
1182 cm
d
11000 cm
answer is B.
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Detailed Solution
Given, v=3+6t+9t2cms−1 Or dsdt=3+6t+9t2 or ds=3+6t+9t2dt∴∫0s ds=∫58 3+6t+9t2dt∴s=3t+3t2+3t358 or s = 1287 cm
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