Basic Science T...

A body projected with velocity $30\,ms^{-1}$ reaches its maximum height in $1.5\,s.$ Its range is

A body of 10 Kg is suspended by a rope and is pulled to a side by means of a horizontal force so that th rope makes an angle of $60^{\circ}$ with the vertical. The tension in the rope is 

An objective move along $x-$axis such that its position varying with time $t$ is given as $x=4t-t^2$ ($4x$ is in metre and time $t$ in second). The distance travelled by the object from $t=0$ to $t=3\ s$ is

A wheel whose moment of inertia is $12\ kg\ m^{2}$ has an initial angular velocity of $40\ rad/s$. A constant torque of $20\ Nm$ acts on the wheel. The time in which the wheel is accelerated to $100\ rad/s$ is

For a particle moving along a straight line, its position $x$ is given by $x = 2e^{-2t}$, where $t$ is time. Relation between its velocity $'v'$ and acceleration $'a'$ is given by

Two charges of $1.0\ C$ each are placed one meter apart in free space. The force between them will be

Two men of masses $m$ and $m/2$ starts climbing up on two massless strings fixed at the ceiling with acceleration $g$ and $g/2$ respectively. The ratio of tensions in the two straight will be

Two bodies are thrown with the same initial velocity of $30\ m/s$. One at $17^{\circ}$, other at $73^{\circ}$ to the horizontal. The sum of the maximum heights reached by them is

The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is

What is the angle between $\vec{i} +\vec{j}$ and $\vec{i}$?