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Question

The velocity of the rabbit has a minimum at t=

A
17 s
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B
12 s
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C
14.6 s
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D
None of these
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Solution

The correct option is C 14.6 s
As x(t) and y(t) is given then Vx(t)=0.62t+7.2 and Vy(t)=0.44t9.1.
Net velocity will be V=(Vx(t))2+(Vy(t))2
Minimum of V will be minimum of V2
So at t where d(V2)dt=0 then V will be minimum.
d(V2)dt=2(0.62t+7.2)×0.62+2(0.44t9.1)×0.44
Equating to zero value of t=9.1×0.44+7.2×0.620.44×0.44+0.62×0.62
t=14.6sec.

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