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Question

The motion of a particle is described by the equation x = at + bt2, where a = 15 cms1 and b = 3 cms2. Its instantanous velocity at t = 3 s will be

A
33 cm s1
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B
18 cm s1
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C
16 cm s1
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D
32 cm s1
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Solution

The correct option is D 33 cm s1
Given:
a=15cms1b=3cms2
x=at+bt2
dxdt=v=a+2btt=3
=15+2×3×3
=15+18
V=33cm/s

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