A person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?

  • [KVPY 2016]
  • A

    Towards north $2.88 \,km$ and towards east $1.34 \,km$

  • B

    Towards north $2.11 \,km$ and towards east $2.11 \,km$

  • C

    Towards north $1.25 \,km$ and towards east $1.93 \,km$

  • D

    Towards north $1.34 \,km$ and towards east $2.88 \,km$

Similar Questions

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 man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himself

The coordinates of a particle moving in a plane are given by $x = a\cos (pt)$ and $y(t) = b\sin (pt)$ where $a,\,\,b\,( < a)$ and $p$ are positive constants of appropriate dimensions. Then

  • [IIT 1999]

Derive equation of motion of body moving in two dimensions

$\overrightarrow v \, = \,\overrightarrow {{v_0}} \, + \overrightarrow a t$ and $\overrightarrow r \, = \,\overrightarrow {{r_0}} \, + \overrightarrow {{v_0}} t\, + \,\frac{1}{2}g{t^2}$.

A hiker stands on the edge of a cliff $490\; m$ above the ground and throws a stone horizontally with an initial speed of $15 \;m/ s$. Neglecting air resistance, find the time taken by the stone to reach the ground, and the speed with which it hits the ground. (Take $g = 9.8 \;m /s^2$ ).