Question 1 :
Which one of the following is most probably not a case of uniform circular motion?
Question 3 :
In the case of uniform circular motion, which one of the following physical quantities does not remain constant?<br>
Question 4 :
An object is placed on the edge of a constant speed turntable. The object has? 
Question 5 :
A particle is revolving in a circle with increasing its speed uniformly. Which of the following is constant?<br>
Question 6 :
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\ ms^{-1}$. It implies that the boy is :<br/>
Question 9 :
Which of the following quantities remain(s) constant during the uniform circular motion of an object?
Question 10 :
A stone tied to the end of a string $80 \,cm$ long is whirled in a horizontal circle with a constant speed. If the stone makes $14$ revolutions in $25s$, the magnitude of acceleration is:
Question 11 :
A centrifuge starts rotating from rest and reaches a rotational speed of $8,000$ radians/sec in  $25$ seconds. Calculate the angular acceleration of the centrifuge?
Question 12 : If the speed of body moving in circle is doubled and the radius is halved, its centripetal acceleration becomes<p></p>
Question 13 :
What is the centripetal acceleration on the rim of a wagon wheel of $44 cm$ diameter if the wagon is being pulled at a constant $2.5 m/s$?
Question 14 :
The international space station is maintained in a nearly circular orbit with a mean altitude of $330km$ and a maximum of $410km$. An astronaut is floating in the space station's cabin. The acceleration of astronaut as measured from the earth is.
Question 15 :
The average acceleration vector for a particle having a uniform circular motion in one complete revolution.
Question 16 :
A particle moves in the direction of east for 2s with velocity of $14 ms^{-1}$. Then it moves towards north for 8s with a velocity of $5 ms^{-1}$ . The average velocity of the particle is (in $ms^{-1}$)
Question 17 :
A particle is moving with constant angular acceleration $= \alpha$ in a circular path of radius $\sqrt {3}m$. At $t = 0$, it was at rest and at $t = 1\ sec$, the magnitude of its acceleration becomes $\sqrt {6} m/s^{2}$, then $\alpha$ is
Question 18 :
If $\displaystyle \vec{a},\vec{b},\vec{c},\vec{d},\vec{e},\vec{f}$ are position vectors of 6 points A, B, C, D, E & F respectively such that $\displaystyle 3\vec{a}+4\vec{b}=6\vec{c}+\vec{d}=4\vec{e}+3\vec{f}=\vec{x}$ then
Question 19 :
What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and half angular velocity $\omega $
Question 20 :
For motion of an object along the x-axis, the velocity v depends on the displacement x as v = $3x^2 - 2x$, then what is the acceleration at x = 2 m.
Question 21 :
A point moves on the $x-y$ plane according to the law $x=a\sin { \omega t } $ and $y=a(1-\cos { \omega t) } $ where $a$ and $\omega$ are positive constants and $t$ is in seconds. Find the distance covered in time ${ t }_{ 0 }$.<br/>
Question 22 :
A stone tied to the end of a string of $80$ cm long, is whirled in a horizontal circle with a constant speed. If the stone makes $14$ revolutions in $25$ sec, then magnitude of acceleration of the same will be
Question 23 :
A girl standing on a pedestal at rest throws a ball upwards with maximum possible speed of $50\ m{ s }^{ -1 }$. If the platform starts moving up at $5\ m{ s }^{ -1 }$ and the girl again throws the similar ball in similar way. The time taken in the previous case and the time taken in the second case to return to her hands are<br>
Question 24 :
A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude $P_0$. The instantaneous velocity of this car is proportional to
Question 25 : <p>A large number of particles are moving with same magnitude of velocity $v$ but having random directions. The average relative velocity between any two particles averaged over all the pairs is </p><p></p>
Question 26 :
A particle starts rotating from rest. Its angular dispalcement is expressed by the following equation $\theta = 0.025t^2 - 0.1t$ where $\theta$ is in radian and $t$ is seconds. The angular acceleration of the particle is
Question 27 :
A projectile is thrown into space so as to have maximum possible range of $400m$. Taking the point of projection as the origin, the coordinate of the point where the velocity of the projectile is minimum is
Question 28 :
Assertion: A particle is projected with velocity $\displaystyle \vec{u}$ at angle $\displaystyle 45^{\circ}$ with ground. Let $\displaystyle \vec{v}$ be the velocity of particle at time $\displaystyle t\left ( \neq 0 \right ),$ then value of $\vec{u}.\vec{v}$ can be zero.
Reason: Value of dot product is zero when angle between two vectors is $\displaystyle 90^{\circ}.$
Question 29 :
Two paper screens $A$ and $B$ are separated by $150\ m$. A bullet pierces $A$ and $B$. The hole in $B$ is $15\ cm$ below the hole is $A$. If the bullet is travelling horizontally at the time of hitting $A$, then the velocity of the bullet at $A$ is $(g = 10\ ms^{-2})$.
Question 30 :
An object moving with a speed of $6.25$ m/s, is decelerated at a rate given by $\frac{dv}{dt} = -2.5 \sqrt v $ where $v$ is the instantaneous speed. The time taken by the object, to come to rest, would be then<br/>
Question 31 :
A particle of mass 'm' is projected with a velocity 'u' at an angle $'\theta'$ with the horizontal. Work done by gravity during its descent from its highest point to a point which is at half the maximum height is?
Question 32 :
A disc rotates about its axis with a constant angular acceleration of $4$ rad$/s^2$. Find the radius tangential accelerations of a particle at a distance of $1$ cm from the axis at the end of the second after the disc starts rotating.
Question 34 :
<br/>A particle of mass $m$ moves in a circle of radius $R$. The distance $s$ described by it varies with time $t$ as ${s}=\alpha {t}^{2}$, where $\alpha$ is a constant. What is its radial acceleration?
Question 35 :
Find the unit vectors which are perpendicular to both the vector $ i+4j $ and $ 2i+4j+3k. $<br>
