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A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 s another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v? (take g = 10 ms⁻²)
A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 s is s₁ and that covered in the first 20 s is s₂, then
If the velocity of a particle is $v = At + Bt^2$, where $A$ and $B$ are constants, then the distance travelled by it between 1 s and 2 s is:
A bus is moving at a speed of 10 ms⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?
A particle shows the distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:
A person travelling in a straight line moves with a constant velocity v₁ for a certain distance x and with a constant velocity v₂ for the next equal distance. The average velocity v is given by the relation:
If a ball is thrown vertically upwards with speed $u$, the distance covered during the last $t$ seconds of its ascent is
The x-t graph shown in figure represents
The potential energy of a long spring when stretched by $2 \text{ cm}$ is $U$. If the spring is stretched by $8 \text{ cm}$, potential energy stored in it will be
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
For the velocity-time graph shown in the figure, the distance covered by the body in the last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds?
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:
Velocity of a body on reaching the point from which it was projected upwards, is: