A ball is thrown vertically upwards with a velocity of 20 m/s from the top of a multistorey building. The height of the point from where the ball is thrown is 25.0 m from the ground. How high will the ball rise from the point of throw?

A ball is thrown vertically upwards with a velocity of 20 ${\mathrm{ms}}^{-1}$ from the top of a multistorey building. The height of the point from where the ball is thrown is 25.0 m from the ground. How long will it be before the ball hits the ground? Take g = 10 ${\mathrm{ms}}^{-2}$.

When brakes are applied to a moving vehicle, the distance it travels before stopping is called stopping distance. It is an important factor for road safety and depends on the initial velocity $\left({\mathrm{v}}_0\right)$ and the braking capacity, or deceleration, –a that is caused by the braking. Expression for stopping distance of a vehicle in terms of ${\mathrm{v}}_0$ and a is:

You can measure your reaction time by a simple experiment. Take a ruler and ask your friend to drop it vertically through the gap between your thumb and forefinger (Fig. shown below). After you catch it if the distance d travelled by the ruler is 21.0 cm, your reaction time is:

Galileo’s law of odd numbers: “The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the ratio:

A train is moving in south with a speed of 90 ${\mathrm{kmh}}^{-1}$. The velocity of ground with respect to the train is:

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 ${\mathrm{kmh}}^{-1}$, and train B moves south with a speed of 90 ${\mathrm{kmh}}^{-1}$. The magnitude of the velocity of B with respect to A is:

A train is moving in the north direction with a speed of 54 ${\mathrm{kmh}}^{-1}$. The velocity of a monkey running on the roof of the train against its motion (with a velocity of 18 ${\mathrm{kmh}}^{-1}$ with respect to train) as observed by a man standing on the ground is:

The position of an object moving along x-axis is given by x = $\mathrm{a}+{\mathrm{bt}}^2$ where a = 8.5 m, b = 2.5 ${\mathrm{ms}}^{-2}$ and t is measured in seconds. Its velocity at t = 2.0 s will be

The position-time graph for a free-falling object is:

Figure shows x-t graph for a particle undergoing one-dimensional motion. What is the velocity of the particle at t=20 s?

The figure shows the velocity-time graph for a particle. Acceleration in the time interval t=0 to t=8s will be:

The figure shows the velocity-time graph for a particle. What is the acceleration of the particle?

Two figures shown below exhibit position-time graphs for particles undergoing one-dimensional motion. In which of the following graph(s), the acceleration of the particle is zero?

A small block slides down on a smooth inclined plane starting from rest at time t=0. Let S_n be the distance travelled by the block in the interval t= n-1 to t=n. Then the ratio $\frac{{\mathrm{S}}_{\mathrm{n}}}{{\mathrm{S}}_{\mathrm{n}} + 1}$is:

Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour, respectively. A person is walking in train A in the direction opposite to its motion with a speed of 1.8 km/hr. Speed (in ms–1) of this person as observed from train B will be close to : (take the distance between the tracks as negligible)

A scooter accelerates from rest for time t₁ at constant rate a₁ and then retards at constant rate a₂ for time t₂ and comes to rest. The correct value of $\frac{{\mathrm{t}}_1}{{\mathrm{t}}_2}$ will be :