Write any two equations of motion for a body having uniform acceleration.

A truck running at $90\, km h ^{-1}$ is brought to rest over a distance of $25\, m$. Calculate the retardation and time for which brakes are applied.

What is velocity$-$time graph ? State how it can be used to find

$(i)$ the acceleration of a body,

$(ii)$ the displacement of the body,

$(iii)$ the distance travelled in a given time.

If the acceleration of a particle is constant in magnitude but not in direction, what type of path is followed by the particle ?

A frog hops along a straight line path from point $'A^{\prime}$ to point ${ }^{\prime} B ^{\prime}$ in $10\, s$ and then turns and hops to point ${ }^{\prime} C^{\prime}$ in another $5\, s$. Calculate the average speed and average velocity of the frog for the motion between $(a)(A)$ to $(B)(b)(A)$ to $(C)($ through $B)$

A satellite while revolving around the earth completes one revolution in $1$ hour and $30$ minutes. What is the angular speed of the satellite ?