Motion graphs

The velocity ($v$) versus time ($t$) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively ________.

A bullet is shot vertically downwards with an initial velocity of 100 m/s from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time t = 20 s will be:

(Take g = 10 m/s$^2$).

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph ?

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time ?

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?

Which of the following option correctly describes the variation of the speed $v$ and acceleration '$a$' of a point mass falling vertically in a viscous medium that applies a force F = −kv, where 'k' is a constant, on the body ? (Graphs are schematic and not drawn to scale)

Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motion is :

Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ?

(Assume stones do not rebound after hitting the ground and neglect air resistance, take $g=10$ m/s$^2$)

(The figures are schematic and not drawn to scale)

A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy $K$ with time $t$ most appropriately? The figures are only illustrative and not to the scale.

The phase space diagram for a ball thrown vertically up from ground is

Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS.