A particle leaves the origin with an initial velocity u → = 3 i ^ ms - 1 and a constant acceleration a → = - 1 . 0 i ^ - 0 . 5 j ^ ms - 2 . Its velocity v → and position vector r → when it reaches its maximum x -co-ordinate are:

r → = 4 . 5 i ^ - 2 . 25 j ^ m

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 29

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A particle moves with constant speed $v$ along a regular hexagon $A B C D E F$ in the same order. Then the magnitude of the average velocity for its motion from $A$ to_ is _.

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Important Questions on Kinematics

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 30

A particle moves along

x

-axis according to the law

x = (t^{3} - 3 t^{2} - 9 t + 5) m

. Then:

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 31

A particle moving along a straight line with uniform acceleration has velocities $7 m s^{- 1}$ at $A$ and $17 m s^{- 1}$ at $C$ . $B$ is the midpoint of $A C$ . Then,

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 32

A particle moves along the

X

-axis as

x = u (t - 2 s) + a {(t - 2 s)}^{2}

:

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 33

The co-ordinate of the particle in $x - y$ plane are given as $x = 2 + 2 t + 4 t^{2}$ and $y = 4 t + 8 t^{2}$ :

The motion of the particle is:

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 34

A particle leaves the origin with an initial velocity

\vec{u} = 3 \hat{i} {ms}^{- 1}

and a constant acceleration

\vec{a} = (- 1.0 \hat{i} - 0.5 \hat{j}) {ms}^{- 2}

. Its velocity

\vec{v}

and position vector

\vec{r}

when it reaches its maximum

x

-co-ordinate are:

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 35

Pick the correct statements.

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 36

If velocity of the particle is given by

v = \sqrt{x},

where

x

denotes the position of the particle and initially the particle was at

x = 4 m,

then which of the followings are correct.

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Beta Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise-2>Q 37

The velocity-time graph of the particle moving along a straight line is shown. The rate of acceleration and deceleration is constant and it is equal to $5 {ms}^{- 2}$ . If the average velocity during the motion is $20 {ms}^{- 1}$ , then the value of $t$ is