Motion Test - 7...

A smooth track of incline of length $$l$$ is joined smoothly with circular track of radius $$R$$. A mass of $$m$$kg is projected up from the bottom of the inclined plane. The minimum speed of the mass to reach the top of the track is given by, $$v=$$

In the figure, the displacement time graph of a body is shown at different time-intervals. Calculate the velocity of the body as it moves for
$$(i)\ 0 \ to\ 5 s$$,
$$(ii)\ 5 s \ to\ 7 s$$ and
$$(iii)\ 7 s\ to\ 9 s$$.

Two masses of mass $$40\ gm $$ and $$30\ gm $$ are connected across a pulley with the help of light string, then the acceleration of the system is 

Figure represents the displacement-time graph of motion of two cars A and B. Find the velocities of car A and car B.

The diagram drawn above shows the distance-time graphs of four cars A,B, C and D moving on a levelled road. Choose the correct statement.

The ratio of SI units to CGS units of retardation is.

Which of the following is a measurement of velocity ?

Which of the following is not an example of acceleration?

$$a$$. A boy moving on a bicycle with a speed of $$18~ km/h$$.
$$b$$. A fast runner running with a speed of $$10 ~m/s$$.
$$c$$. A scooter moving with a speed of $$800 ~m/min$$.

A particle experiences a net force that is always parallel to y-axis. If it moves along the curve $$xy=a^2$$ where $$a$$ is a constant and the magnitude of the force is $$y^n$$, then $$n$$ is