A body lying initially at point $(3,7)$ starts moving with a constant acceleration of $4 \hat{i}$. Its position after $3 \,s$ is given by the co-ordinates ..........
$(7,3)$
$(7,18)$
$(21,7)$
$(3,7)$
A body is moving with velocity $30\; m/s$ towards east. After $10$ seconds its velocity becomes $40\; m/s$ towards north. The average acceleration of the body is ...... $m/s^2$
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 $t=2.0 \;s ?$
A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to gravity is $g$, the range of the projectile is $d$. If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is $g^{\prime}=\frac{g}{0.81}$, then the new range is $d^{\prime}=n d$. The value of $n$ is. . . . .
If position time graph of a particle is sine curve as shown, what will be its velocity-time graph.