Physics Crash Course NEET>Chapter 2 - Kinematics>Level 3>Q 77

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If the velocity $v$ of a particle moving along a straight line decreases linearly with its displacement $S$ from $20 m s^{- 1}$ to a value approaching to zero at $S = 30 m$ , then the acceleration of the particle at $S = 15 m$ , is

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Important Questions on Kinematics

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

A particle moves according to the equation

x = a \sin ω t

and

y = a (1 - \cos ω t)

. The path of the particle is

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

A stone is released at rest from a height of

45 m

above the horizontal level ground. There is horizontal wind blowing due to which stone acquires an additional (in addition to acceleration due to gravity) horizontal acceleration of magnitude

10 m s^{- 2}

. Then the net distance travelled by stone before reaching the ground is (take

g = 10 m s^{- 2}

and neglect air resistance),

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 1>Q 3

A body is having an initial velocity of

(\hat{i} + 2 \hat{j}) m s^{- 1}

, where

\hat{i}

is along the ground and

\hat{j}

is along vertically upward. If

g = 10 m s^{- 2}

, then choose the equation of trajectory,

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

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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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