A projectile is launched at an angle $heta$ with the horizontal with an initial speed $u$. If the horizontal range is $R$ and the maximum height reached is $H$, what is the relationship between $R$, $H$, and $heta$?

A car travels equal distances in the same direction with velocities $60{\rm{km}}{{\rm{h}}^{ - 1}}\,,\,20\;{\rm{km\;}}{{\rm{h}}^{ - 1}}$ and $10\;{\rm{km\;}}{{\rm{h}}^{ - 1}}$ respectively. The average velocity of the car over the whole journey of motion is

An object moves with a constant velocity of 10 m/s. What is its acceleration?

The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is $0.34\,\,m{s^{ - 1}}$. If the change in velocity of the body is $0.18\,\,m{s^{ - 1}}$ during this time.

If the velocity of a particle is $\left( {10 + 2{t^2}} \right)m/s$, then the average acceleration of the particle between 2s and 5s is

A particle travelled ${\left( {\frac{3}{4}} \right)^{th}}$ of the circle of radius R in time t. The magnitude of the average velocity of the particle in this time interval is

A Car moving with a speed V=12 m/s applies its brakes so that it stops within a time interval of $\Delta t = 3.6S$ . Then the average acceleration of the car is $\left[ {m/{s^2}} \right]$

The ratio of the numerical values of the average velocity and average speed of a body is always

A particle starts from rest and moves with uniform acceleration. After covering a distance $d$, its velocity becomes $v$. How much further will it travel before its velocity doubles to $2v$?

An object is projected horizontally with a velocity 'u'. Ignoring air resistance, which of the following remains constant throughout its motion?

A car starts from rest and moves with uniform acceleration a on a straight road from time t=0 to t=T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is