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The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point
Velocity-time curve for a body projected vertically upwards is
The position of a particle moving in the XY plane at any time $t$ is given by $x = (3t^2 - 6t)$ metres. Select the correct statement about the moving particle from the following.
A body starts from rest from the origin with an acceleration of $6 \text{ m/s}^2$ along the $x$-axis and $8 \text{ m/s}^2$ along the $y$-axis. Its distance from the origin after $4 \text{ seconds}$ will be:
The relation $3t = \sqrt{3x} + 6$ describes the displacement of a particle in one direction where $x$ is in metres and $t$ in seconds. The displacement, when velocity is zero, is:
A scooter accelerates from rest for time $t_1$ at constant rate $a_1$ and then retards at constant rate $a_2$ for time $t_2$ and comes to rest. The correct value of $\frac{t_1}{t_2}$ will be:
Choose the correct circuit which can achieve the bridge balance :
A rocket is fired upward from the earth's surface such that it creates an acceleration of $19.6 \text{ m/s}^2$. If after $5 \text{ s}$ its engine is switched off, the maximum height of the rocket from the earth's surface would be:
A balloon is at a height of $81 \text{ m}$ and is ascending upwards with a velocity of $12 \text{ m/s}$. A body of $2 \text{ kg}$ weight is dropped from it. If $g=10 \text{ m/s}^2$, the body will reach the surface of the earth in:
Water drops fall at regular intervals from a tap which is $5 \text{ m}$ above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant?
A stone is thrown vertically downwards with an initial velocity of $40 \text{ m/s}$ from the top of a building. If it reaches the ground with a velocity of $60 \text{ m/s}$, then the height of the building is: (take $g=10 \text{ m/s}^2$)
Velocity of a body on reaching the point from which it was projected upwards, is:
The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second is:
An object falls freely from height $h$ above the ground. It travels $\frac{5}{9}h$ of the total height in the last $1\text{ s}$. The height $h$ is: (use $g=10\text{ m/s}^2$)
A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2v$. Its average speed is:
The speed of a car as a function of time is shown in the figure. The distance travelled by the car in 8 s is:
On electrolysis of dil. sulphuric acid using Platinum (Pt) electrode, the product obtained at anode will be
A particle is thrown vertically upwards. If its velocity at half of the maximum height is $10 \text{ m/s}$, then maximum height attained by it is (Take $g = 10 \text{ m/s}^2$):
A stone is thrown with an initial speed of $4.9 \text{ m/s}$ from a bridge in vertically upward direction. It falls down in water after $2 \text{ sec}$. The height of the bridge is:
The pair of species with the same bond order is: