Motion Under Gravity

Q. A particle starting from rest travels a distance x in first 2 seconds and a distance y in next two seconds, then

1. 
2. 
3. 
4. 

Q. A particle is dropped under gravity from rest from a height $h(g=9.8\frac{m}{se{c}^2})$ and it travels a distance $\frac{9h}{25}$ in the last second, the height h is

1. 100 m
2. 122.5 m
3. 145 m
4. 167.5 m

Q. A particle is moving in a vertical circle such that the tension in the string at the topmost point B is zeroThe acceleration of the particle at point A is(g= 10 m/s2)B2(2) 10/10 m/s(1) 10/5 m/s(4) 5/10 m/s2(3) 10 m/s

Q. A car travelling with a speed of 80 km/h slowed down to 44 km/h in 15s. The retardation i

Q. 15.A stick of mass m and length l is pivoted at one end and is displaced through an angle theta .the increase in potential energy is

Q. if velocity of flow is 4 m/s then velocity head is

Q. 28.What is the difference between change in magnitude of velocity and magnitude of change in velocity

Q. An object 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 $1\text{m}$ each will be

1. same, which is $\sqrt{\frac{2}{8}}$ seconds
2. in the ratio of the square roots of the integers 1, 2, 3, …
3. in the ratio of the difference in the square roots of the integers, i.e., $\sqrt{1},(\sqrt{2}-\sqrt{1}),(\sqrt{3}-\sqrt{2}),(\sqrt{4}-\sqrt{3})$, ...
4. in the ratio of the reciprocals of the square roots of the integers, i.e., $\frac{1}{\sqrt{1}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{3}},$ ...

Q. A particle is projected with a velocity {\vec v=(3^ i-^ j+2^ k)m/s and a constant acceleration { acting on the particle is \vec a=(-6^ i+2^ j-4^ k)m/s Then the path of projectile is

Q. Two balls are projected at different angles from the same place and with the same initial speed of 50 m/s.Both have the same range of 216 m. The difference in their times of flight is: (1)14.4 s (2)7.8 s (3)3.6 s (4)0 s

Q. Six small rain dropseach of radius 1.5 mm;come down with a terminal velocity of 6 cm/sec .They coalesce to form a bigger drop.what is the terminal velocity of the bigger drop?

Q. Give the graph of kinetic energy versus acceleration and also their relation

Q. A cricketer hits a ball with a velocity 25m/s at 60 degree angle above the horizontal.how far above the ground it passes over a fielder 50m from the bat??

Q. 2.A balloon carrying a ball is moving vertically upward with velocity 12m/s when the balloon is at height 65m the ball is dropped with what speed ball hit the ground.

Q. 6. If the distance b/w two bodies is i creased by a factor of 5 by what factor would the mass of one of them have to be altered to maintain the same gravitational force ?would this be an Increase or decrease in the mass

Q. A cricket ball is thrown at a speed of 28 metre per second in a direction 30 degree above the horizontal calculate the maximum height , the time taken by the ball to return to the same level and the distance from the thrower to the point where the ball returns the same level.

Q. if ge is the acceleration due to gravity at the equator and gp be the that at the poles. assuming the earth to be a a sphere of radius Re roatating about its own axis with angular speed omega, then ge-gp is ?

Q. 51. The potential energy of mass m moving in xy plane in aconservative field is given by U=ax+by, where x and y are position coordinates of the object. Find magnitude of its acceleration

Q. What should be minimum retardation of car A to avoid collision with car B if B is travelling with constant velocity(v2)?

Q. A particle is projected vertically upwards with speed $20\text{m/s}$ from top of a tower of height $20\text{m}$ as shown in figure. Given $B$ is top most point of trajectory and $C$ is at same height as $A$.
List-I gives certain statements regarding particle
List - II gives corresponding results in SI units.
Match the statements in List-I with corresponding results in List-II.

$\begin{array}{cccc}& \text{List-I}& & \text{List-II}\\ \text{(I)}& \text{ratio of maximum height from ground (BD)}& \text{(P)}& \frac{1}{\sqrt{2}}\\ & \text{to the initial height from ground (AD) is}& & \\ \text{(II)}& \text{ratio of distance travelled in 1}{}^{st}\text{second to}& \text{(Q)}& 1\\ & \text{the distance travelled in 2}{}^{nd}\text{second is}& & \\ \text{(III)}& \text{ratio of initial speed at A to the final}& \text{(R)}& 2\\ & \text{just before reaching to ground (D) is}& & \\ \text{(IV)}& \text{ratio of time taken from A to C and time}& \text{(S)}& 3\\ & \text{taken from A to B is}& & \end{array}$

1. $I\to R;II\to S;III\to R;IV\to P$
2. $I\to S;II\to R;III\to P;IV\to R$
3. $I\to R;II\to S;III\to P;IV\to R$
4. $I\to P;II\to S;III\to Q;IV\to R$

Q. The ratio of distances covered by a freely falling body (starting from rest) during the $1^{\text{st}},2^{\text{nd}},3^{\text{rd}}$ second of its motion is: [Take $g=10{\text{m/s}}^2$]

1. $3:6:9$
2. $1:3:5$
3. $2:3:5$
4. $1:3:7$

Q. if velocity is speed in a particular direction and speed is how fast or slow an object is moving then why the formula of speed and velocity diff

Q. Write two factors affecting kinetic energy. Also draw a graph between kinetic energy and mass?

Q. A body falls from rest under gravity and travels half of its total path in the last second. Find the time of fall in seconds. (Take $g=10{\text{ms}}^{-2}$)

Q. On an inclined plane inclined at an angle of 30° to the horizontal, a ball is thrown upwards with a velocity of 10 m/s, at an angle of 60° to the inclined plane. Its range on the inclined plane is

Q. A ball is projected at an angle of 37degree from the ground with a speed 20 m/s. The maximum height achieved by ball is

Q. A particle is projected from ground with speed 80 m/s at an angle 30^0 with horizontal from ground the magnitude of average velocity of particle in time interval t=2s to t=6s is

Q. A particle is projected with speed v0 at an angle theta from horizontal the average velocity of particle

Q. A body travels half of its total path in the last second of its fall from rest. If $t$ and $H$ are the time and height of its fall (take $g=10{\text{m/s}}^2$). Then,

1. $t=2.4\text{s}$
2. $t=3.4\text{s}$
3. $H=28.8\text{m}$
4. $H=58.3\text{m}$

Q.

I drop a ball from an aeroplane. If there was no air, will the ball still fall at a uniform acceleration ie. in ratios 1:4:9?

1. YES

2. NO