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3-2.Motion in Plane
easy
The position vector of an object at any time $t$ is given by $3 t^2 \hat{i}+6 t \hat{j}+\hat{k}$. Its velocity along $y$-axis has the magnitude
A$6 t$
B$6$
C$0$
D$9$
Solution
(b)
$\overrightarrow{ r }=3 t ^2 \hat{ i }+6 \hat{ j }+\hat{ k }$
$\frac{ d \overrightarrow{ r }}{ dt }=\overrightarrow{ v }=6 \hat{ i }+6 \hat{ j }$
$v _{ y }=6\,m / s$
$\overrightarrow{ r }=3 t ^2 \hat{ i }+6 \hat{ j }+\hat{ k }$
$\frac{ d \overrightarrow{ r }}{ dt }=\overrightarrow{ v }=6 \hat{ i }+6 \hat{ j }$
$v _{ y }=6\,m / s$
Standard 11
Physics
