A particle is moving along the positive x -axis as x = a t - 3 + b t - 3 2 + 4 t - 3 , which of the following is true?

The acceleration of the particle is 2 b

The initial velocity of the particle is a - 2 b + 4

The particle is at origin at t = 4

The acceleration of particle is 6 b

A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :

straight line vertically down the plane

parabola in a direction opposite to the motion of plane

parabola in the direction of motion of plane

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 21

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A particle is moving with speed $v = b \sqrt{x}$ along positive $x -$ axis. Calculate the speed of the particle at time $t = τ$ (assume that the particle is at origin at $t = 0$ )

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Important Questions on Kinematics

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 22

Which of the following equations represents the motion of a body moving with constant finite acceleration? in these equations,

y

denotes the displacement in time

t

and

p, q

and

r

are arbitary constants :

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 23

\int (\frac{\sqrt{x}}{2} + \frac{2}{\sqrt{x}}) d x

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 24

\int (8 y - \frac{2}{y^{1 / 4}}) d y

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 25

\int 2 x (1 - x^{- 3}) d x

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 26

\int (- 5 \sin t) d t

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 27

The figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius $2.5 m$ at a given instant of time. At this instant, find $(i)$ its radial acceleration, $(ii)$ the speed of the particle and $(iii)$ its tangential acceleration.

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Physics Crash Course NEET>Chapter 2 - Kinematics>Level 2>Q 28

Two identical discs of the same radius $R$ are rotating about their axes in opposite directions with the same constant angular speed $ω$ . The disc is in the same horizontal plane.At time $t = 0$ , the points $P$ and $Q$ are facing each other as shown in the figure. The relative speed between the two points $P$ and $Q$ is $v_{r}$ as a function of times best represented by