Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 4

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The trajectory of a projectile near the surface of the earth is given as $y = 2 x - 9 x^{2} .$ If it were launched at an angle $θ_{0}$ with speed $v_{0}$ then $(g = 10 {m s}^{- 2}) :$

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Important Questions on Kinematics

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IMPORTANT

Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 5

A particle is moving with a velocity

\vec{v} = K (y \hat{i} + x \hat{j}),

where

K

is a constant.

The general equation for its path is:

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 6

If a particle moves from the point

P (2, 3, 5)

to the point

Q (3, 4, 5)

, its displacement vector be

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 7

Consider the vectors

\vec{A} = (\hat{i} + \hat{j} - \hat{k})

,

\vec{B} = (2 \hat{i} - \hat{j} + \hat{k})

and

\vec{C} = \frac{1}{\sqrt{5}} (\hat{i} - 2 \hat{j} + 2 \hat{k})

. What is the value of

\vec{C} \cdot (\vec{A} \times \vec{B})

?

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 8

Given,

\vec{A} = 3 \hat{i} + 2 \hat{j}

and

\vec{B} = \hat{i} + \hat{j}

. The component of vector

\vec{A}

along vector

\vec{B}

is

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 9

If

\vec{a}

and

\vec{b}

are two vectors, then the value of

(\vec{a} + \vec{b}) \times (\vec{a} - \vec{b})

is,

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 10

If

|{\vec{V}}_{1} + {\vec{V}}_{2}| = |{\vec{V}}_{1} - {\vec{V}}_{2}|

and

V_{2}

is finite, then,

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 11

Force

\vec{F}

applied on a body is written as

\vec{F} = (\hat{n} \times \hat{F}) \cdot \hat{n} + \vec{G},

where

\hat{n}

is a unit vector. The vector

\vec{G}

is equal to

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 12

Five equal forces of

10 N

each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be