A particle has initial velocity $\left( {2\hat i + 3\hat j} \right)$ and acceleration $\left( {0.3\hat i + 0.2\hat j} \right)$. The magnitude of velocity after $10\, seconds$ will be
A particle has initial velocity $\left( {2\hat i + 3\hat j} \right)$ and acceleration $\left( {0.3\hat i + 0.2\hat j} \right)$. The magnitude of velocity after $10\, seconds$ will be
- A
$5\, units$
- B
$9\, units$
- C
$9\sqrt 2 \,unit$
- D
$5\sqrt 2 \,unit$
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Read each statement below carefully and state, with reasons and examples, if it is true or false :
A scalar quantity is one that
$(a)$ is conserved in a process
$(b)$ can never take negative values
$(c)$ must be dimensionless
$(d)$ does not vary from one point to another in space
$(e)$ has the same value for observers with different orientations of axes.
Read each statement below carefully and state, with reasons and examples, if it is true or false :
A scalar quantity is one that
$(a)$ is conserved in a process
$(b)$ can never take negative values
$(c)$ must be dimensionless
$(d)$ does not vary from one point to another in space
$(e)$ has the same value for observers with different orientations of axes.
The position of a particle is given by
$r =3.0 t \hat{ i }-2.0 t^{2} \hat{ j }+4.0 \hat{ k } \;m$
where $t$ is in seconds and the coefficients have the proper units for $r$ to be in metres.
$(a)$ Find the $v$ and a of the particle?
$(b)$ What is the magnitude and direction of velocity of the particle at $t=2.0 \;s ?$
The position of a particle is given by
$r =3.0 t \hat{ i }-2.0 t^{2} \hat{ j }+4.0 \hat{ k } \;m$
where $t$ is in seconds and the coefficients have the proper units for $r$ to be in metres.
$(a)$ Find the $v$ and a of the particle?
$(b)$ What is the magnitude and direction of velocity of the particle at $t=2.0 \;s ?$