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Position of an ant ( \(S\) in metres) moving in \(Y-Z\) plane is given by \(S=2 t^2 \hat{j}+5 \hat{k}\) (where \(t\) is …

Q1

Position of an ant ( \(S\) in metres) moving in \(Y-Z\) plane is given by \(S=2 t^2 \hat{j}+5 \hat{k}\) (where \(t\) is in second). The magnitude and direction of velocity of the ant at \(t=1 s\) will be :

[JEE Main 2024, 27 Jan (Shift 1)]

a

\(16 m / s\) in \(y\)-direction

b

\(4 m / s\) in \(x\)-direction

c

\(9 m / s\) in \(z\)-direction

d

\(4 m / s\) in \(y\)-direction

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