Magnetic Effects Of Current Question 3

Question 3 - 2024 (27 Jan Shift 1)

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 :

(1) $16 m / s$ in $y$-direction

(2) $4 m / s$ in $x$-direction

(3) $9 m / s$ in z-direction

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

Show Answer

Answer: (4)

Solution:

$\vec{v}=\frac{d \vec{s}}{d t}=4 t \hat{j}$

At $t=1 \sec \overrightarrow{v}=4 \hat{j}$