Question 1 :
A balloon is rising vertically up with a velocity of $29$ $ms^{-1}$. A stone is dropped from it and it reaches the ground in $10$s. The height of the balloon when the stone was dropped from it is: $(g=9.8 ms^{-1})$.
Question 2 :
Two particles A and B having different masses are projected from a tower with same speed. A is projected vertically upward and B vertically downward. On reaching the ground.<br>
Question 3 :
A body falls freely for $10 sec$. Its average velocity during this journey (take $g=10m{s}^{-2}$):
Question 4 :
Assuming that there is no air resistance, what is the acceleration produced in a body of mass 25 kg falling freely from a height of 2m?
Question 5 :
The acceleration of a body projected upwards with a certain velocity is
Question 6 :
From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If $\displaystyle { v }_{ A }$ and $\displaystyle { v }_{ B }$ are their respective velocities on reaching the ground, then
Question 7 :
A toy rocket is launched straight up. At the exact top of its flight path, which of the following is true?
Question 8 : <p>A sign convention is used, the positive direction for position, velocity and acceleration is upward. A ball of mass m is thrown upward with velocity $V$ and caught during returning. Identify the signs of position, velocity and acceleration during ascending part of the trajectory.<br/></p><table class="wysiwyg-table"><tbody><tr><td></td><td>Position</td><td>Velocity</td><td>Acceleration</td></tr><tr><td>(A)</td><td>Positive</td><td>Positive</td><td>Positive</td></tr><tr><td>(B)</td><td>Positive</td><td>Positive</td><td>Negative</td></tr><tr><td>(C)</td><td>Positive</td><td>Negative</td><td>Negative</td></tr><tr><td>(D)</td><td>Negative</td><td>Positive</td><td>Negative</td></tr><tr><td>(E)</td><td>Negative</td><td>Negative</td><td>Negative</td></tr></tbody></table>
Question 9 :
A team of skydivers jumps from a plane and holds hands to form a flower-like design. As the skydivers begin their free fall, their velocity increases and their:
Question 10 : A sign convention is used, the positive direction for position, velocity and acceleration is upward. A ball of mass m is thrown upward with velocity $V$ and caught during returning. Identify the signs of position, velocity and acceleration during descending part of the trajectory.<table class="wysiwyg-table"><tbody><tr><td></td><td>Position</td><td>Velocity</td><td>Acceleration</td></tr><tr><td>(A)</td><td>Positive </td><td>Positive</td><td>Positive</td></tr><tr><td>(B)</td><td>Positive</td><td>Positive</td><td>Negative</td></tr><tr><td>(C)</td><td>Positive</td><td>Negative</td><td>Negative</td></tr><tr><td>(D)</td><td>Negative</td><td>Positive</td><td>Negative</td></tr><tr><td>(E)</td><td>Negative</td><td>Negative</td><td>Negative</td></tr></tbody></table>
Question 11 : <div>A ball is thrown vertically upwards. The positive direction is taken to be in upward direction. </div><div>Which of the following is the correct sign of the quantities during its ascent?</div><br/><table class="wysiwyg-table"><tbody><tr><td></td><td>POSITION</td><td>VELOCITY</td><td>ACCELERATION</td></tr><tr><td>(A)</td><td>Positive</td><td>Positive</td><td>Positive</td></tr><tr><td>(B)</td><td>Positive</td><td>Positive</td><td>Negative</td></tr><tr><td>(C)</td><td>Positive</td><td>Negative</td><td>Negative</td></tr><tr><td>(D)</td><td>Negative</td><td>Positive</td><td>Negative</td></tr><tr><td>(E)</td><td>Negative</td><td>Negative</td><td>Negative</td></tr></tbody></table>
Question 12 :
A ball is thrown vertically upwards from the ground. It crosses a point at the height of $25\ m$ twice at an interval of $4\ secs$. The ball was thrown with the velocity of
Question 13 :
A stone thrown upward with a speed 'u' from the top of the tower reaches the ground with a velocity '3u'. The height of the tower is :-
Question 14 :
If a ball is thrown vertically upwards with 40 m/s its velocity after two second will be:-
Question 15 :
A body projected vertically upwards with a velocity u return to the starting point in 4second .If $g=10m^{-2}$ the value of u is $(m/s)$:-
Question 16 :
If an iron ball and a wooden ball of the same radius are released from a height h in vaccum then time taken by both of them to reach ground will be:-
Question 17 :
A ball is thrown upward with a velocity of 100m/s it will reach the ground after :-
Question 18 :
A ball is thrown vertically up. If the ball reached at maximum height in $3s$. Assume air resistance is negligible. The magnitude of the acceleration of the ball at the instant it reaches its maximum height is most nearly:
Question 19 :
Two cars $A$ and $B$ are at rest at same point initially. If $A$ starts with a uniform velocity of $40\ m/sec$ and $B$ starts in the same direction with a constant acceleration of $4\ m/s^{2}$, then $B$ will catch $A$ after how much time?
Question 20 :
A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance of $\displaystyle { X }_{ 1 }$ in the first 10 s and a distance of $\displaystyle { X }_{ 2 }$, in the remaining 10 s, then which of the following is true?
Question 21 :
The velocity of a particle increases from $u$ to $v$ in a time $t$ during which it covers a distances $S$. If the particle has a uniform acceleration, which one of the following equations does not apply to the motion ?
Question 22 :
Which of the following is/are equations of uniformly accelerated motion relating the initial velocity (u), final velocity (v), time (t), acceleration (a) and displacement (S).
Question 23 :
A ball is thrown vertically upwards with a velocity of ${20 ms^{-1}}$ from the top of a multi storey building.The height of the point where the ball is thrown 25 m from the ground.How long will it be before the ball hits the ground ? Take ${g= 10 ms^{-2}}$.
Question 24 :
A rocket is launched to travel vertically upward with a constant velocity of 20 m/s. After travelling 35 s the rocket develops a snag and its fuel supply is cut off. The rocket then travels like a free body, the height achieved it is
Question 25 :
A body $X$ is projected upwards with a velocity of $98\ ms^{-1}$, after $4s$, a second body $Y$ is also projected upwards with the same $Y$ is also projected upwards with the same initial velocity. Two bodies will meet after
Question 26 :
Two cars arrive at certain point with velocity of $\displaystyle { 30\ ms }^{ -1 } , { 25\ ms }^{ -1 } $ and travel in a straight line with uniform acceleration $\displaystyle { 0.25\ ms }^{ -2 }\ and\ { 0.5\ ms }^{ -2 } $ respectively.<br/>(A) Find the distance at which they meet again.<br/>(B) Also determine the time after which the final velocity one of the cars is equal to the initial velocity of the other.
Question 27 :
At any instant, the velocity and acceleration of a particle moving along a straight line v and a. The speed of the particle is increasing if
Question 28 :
A man slides down a snow covered hill along a curved path and falls $20$m below his initial position. The velocity in m/sec with which he finally strikes the ground is? $(g=10 m/sec^2)$.
Question 29 :
If we use plus and minus signs to indicate the direction of velocity and acceleration in one dimension, in which of the following situation does the object speed up?
Question 30 :
A ball with a mass of 0.5 Kg is thrown vertically upward with a speed of 15 m/s. What are its speed and direction two seconds later ?
Question 31 :
The motion of particle of mass m is given by $y=ut+\frac{1}{2}gt^2$. The force acting on the particle is
Question 32 :
Consider a train which can accelerate with an acceleration of $20cm/s^2$ and slow down with deceleration of $100cm/s^2$. Find the minimum time for the train to travel between the stations 2.7km apart.
Question 33 :
A constant force acting on a body of mass of 5kg change its speed from 5 $ms^{-1}$ to 10 $ms^{-1}$ in 10 s without changing the direction of motion. The force acting on the body is
Question 34 :
If a trolley starts from rest with an acceleration of 2 $m/s^2$, the velocity of the body after 4 s would be
Question 35 :
A ball is thrown vertically upward with a speed of $25.0\ m/s$. What is its velocity when it returns to the level from which it started? (in m/s)
Question 36 :
The distance covered by a body moving along X-axis with initial velocity 'u' and uniform acceleration 'a' is given by $x=ut+\frac {1}{2}at^2$. This result is a consequence of
Question 37 :
A ball is released from certain height which losses 50% if its kinetic energy on striking the ground, it will attain a height again.
Question 38 :
A food packet is released from a helicopter rising steadily at the speed of $2\ { m }/{ s }$. After $2$ seconds the velocity of the packet is (Take $g=10 { m }/{ { s }^{ 2 } } $):
Question 39 :
The time, in which a force of 2 N produces a change as momentum of 0.4 kg m s$^{-1}$ in the body whose mass is 1 kg is :<br>
Question 40 :
The initial velocity of a particle is u (at t=0) and the acceleration a is given by at. Which of the following relation is valid ?
Question 41 :
The velocity of a body depends on time according to the equation v=$\frac{t^2}{10} + 20$. The body is undergoing
Question 42 :
A force of $100\ N$ acting on a body for $5$ second gives it a velocity of $20\ m\ s^{-1}$. Calculate the mass of the body.
Question 43 :
If two bodies of different masses $\displaystyle { m }_{ 1 }$ and $\displaystyle { m }_{ 2 }$ are dropped from different heights $\displaystyle { h }_{ 1 }$ and $\displaystyle { h }_{ 2 }$, then ratio of the times taken by the two to drop through these distances is
Question 44 :
A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
Question 46 :
A ball of mass m is thrown straight upward from the top of a multi-storey building with an initial velocity of +15 m/s.<br/>Find out the approximate maximum height reached by the ball? <br/>
Question 47 :
A ball is shot vertically upward with a given initial velocity. It reaches a maximum height of $100$m. If on a second shot, the initial velocity is doubled then the ball will reach a maximum height of.
Question 48 :
A particle stars moving with acceleration 2 $m/s^{2}$ Distance travelled by it in $5^{th}$ half second is
Question 49 :
A man throws ball into the air one after the other, throwing one when other is at the highest point. How high the balls rise if the throws twice a second?
Question 50 :
A Tennis ball is thrown up and reaches a certain height and comes down in $8s$. If value of acceleration due to gravity $(g) = 10m/s^2$, then height reached by tennis ball and velocity with which it strikes the ground respectively is _______ and ______.
Question 51 :
A stone dropped from the top of a tower travels 15m in the last second of its motion. If $g=10m s^{-2}$ then the time of fall is<br/>
Question 52 :
Two bodies of different masses are dropped simultaneously from the top of a tower. If air resistance is proportional to the mass of the body. Then,
Question 53 :
A body is dropped from a balloon moving up with a velocity of $4\ m/s$ when the balloon is at a height of $120.5\ m$ from the ground. The height of the body after $5\ s$ from the ground is? $(g = 9.8\ ms^{-2})$.
Question 54 :
A body is thrown vertically upwards with a velocity of $19.6 {ms}^{-1}$. The position of the body after $4 s$ will be
Question 55 :
The distance through which a body falls in the ${ n }^{ th }$ second is $h$. The distance through which it falls in the next second is
Question 56 :
An object is dropped from rest at a height of $150\ m$ and simultaneously another object is dropped from rest at a height of $100\ m$. What is the difference in their heights after $2\ s$ if both the objects drop with same acceleration?<br/>
Question 57 :
The velocity time graph of a particle moving along a straight line has the form of a parabola $t^{2}-6t+8$ m/s. Find distance travelled (in m) between $t=0$ and $t=3$ seconds :
Question 58 :
A ball is released from a height and it reaches the ground in $3\ s$. If $g=9.8\ ms^{-2}$, find<br/>(a) the height from which the ball was released and<br/>(b) the velocity with which the ball will strike the ground.
Question 59 :
A ball is dropped from height h and another from 2h. The ratio of time taken by the two balls to reach the ground is:
Question 60 :
A body is thrown vertically upward from a point 'A' $125 \ m$ above the ground. It goes up to a maximum height of $250\ m$ above the ground and passes through 'A' on its downward journey . The velocity of the body when it is at a height of $70\ m$ above the ground is: ($\displaystyle g=10\ { ms }^{ -2 }$)
Question 61 :
The displacement time graph for two particles A and B are straight lines inclined at angles of $30^o$ and $60^0$ with the time axis. The ratio of velocities of $V_A:V_B$ is
Question 62 :
State whether true or false.<br/>Two balls are dropped from heights $h_1$ and $h_2$ respectively. The ratio of their velocities on reaching the ground is equal to $\sqrt{h_1} : \sqrt{h_2}$<br/>
Question 63 :
<b> Assertion (A) : </b>A freely falling body experiences a constant horizontal force due to wind velocity, its path is a straight line<br><b>Reason (R) : </b>The motion is decided by the unbalanced force acting on it<br>
Question 64 :
A body dropped from the top of a tower covers a distance $7h$ in the last second of its journey where h is the distance covered in the first second. How much time does it take to reach the ground?
Question 66 :
A particle is thrown up vertically with a speed $v_{1}$ in air. It takes time $t_{1}$ in upwards journey and $t_{2}(>t_{1})$ in the downward journey and returns to the starting point with a speed $v_{2}$. Then,
Question 67 :
A ball is thrown vertically upwards. It was observed at a height h twice with a time interval $ \Delta t $ . The initial velocity of the ball is
Question 68 :
A particle is dropped from rest from a large height. Assume g to be constant throughout, the motion. The time taken by it to fall through successive distances of 1 m each will be
Question 69 :
A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance ?
Question 70 :
A car is travelling at 30 m/s on a circular road of radius 300m. It is increasing its speed at the rate of $4 m/s^2$. The acceleration of the car is .................
Question 71 :
Consider the following statements and select the option which correctly identifies the true (T) and false (F) statements.<br>(i) Distance is the magnitude of displacement in all cases.<br>(ii) When a body moves with uniform speed,then the average speed is same as instantaneous speed.<br>(iii) Average speed is greater than the average velocity if a body is moving in a straight line without reversing its directions.<br>(iv) When a body moves with constant velocity, the average velocity is zero.
