Give two examples of straight-line motion.

Important Questions on Motion in a Plane

EASY

Physics>Mechanics>Motion in a Plane>Motion

Starting at time

t = 0

from the origin with speed

1 m s^{- 1}

, a particle follows a two-dimensional trajectory in the

x - y

plane so that its coordinates are related by the equation

y = \frac{x^{2}}{2}

. The

x

and

y

components of its acceleration are denoted by

a_{x}

and

a_{y}

, respectively. Then

EASY

Physics>Mechanics>Motion in a Plane>Motion

A swimmer can swim with velocity of $12 km / h$ in still water. Water flowing in a river has velocity $6 km / h$ . The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ________ $°$ .

(Round off to the Nearest Integer) (find the angle in degree)

MEDIUM

Physics>Mechanics>Motion in a Plane>Motion

When a particle moves with variable velocity, which of the following statement are NOT correct ?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement

EASY

Physics>Mechanics>Motion in a Plane>Motion

A particle has initial velocity

(2 \hat{i} + 3 \hat{j})

and acceleration

(0.3 \hat{i} + 0.2 \hat{j})

. The magnitude of velocity after

10

seconds will be

MEDIUM

Physics>Mechanics>Motion in a Plane>Motion

Two skaters, $P$ and $Q$ are skating towards each other. Skater, $P$ throws a ball towards, $Q$ every $5 s$ such that it always leaves her hand with speed $2 m s^{- 1}$ with respect to the ground. Consider two cases: (I) $P$ runs with speed $1 m s^{- 1}$ towards $Q,$ while $Q$ remains stationary. (II) $Q$ runs with speed $1 m s^{- 1}$ towards $P,$ while $P$ remains stationary. Note That irrespective of speed of $P,$ ball always leaves $P$ s hand with speed $2 m s^{- 1}$ with respect to the ground. Ignore gravity. Balls will be received by $Q .$