A projectile with speed $50 \mathrm{m} {\mathrm{s}}^{-1}$ is thrown at an angle of $60°$ with the horizontal. The maximum height that can be reached is,
(acceleration due to gravity $=10 \mathrm{m} {\mathrm{s}}^{-2}$)

The velocity of a projectile at the initial point $A$ is $\left(2\hat{\mathrm{i}}-3\hat{\mathrm{j}}\right) \mathrm{m} {\mathrm{s}}^{-1}$. Its velocity (in $\mathrm{m} {\mathrm{s}}^{-1}$) at point $B$ is

Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

Two long parallel plates $A$ and $B$ are separated by a distance of $4 \mathrm{cm}$ with an electric field of $45.5 \mathrm{V} {\mathrm{m}}^{-1}$ between the plates directed normally from plate $A$ to plate $B,$ as shown in the figure. An electron is projected from plate $A$ with velocity $v$ at an angle of $30°$ with the surface of plate $A$. The maximum value of $v$ so that the electron does not hit plate $B$ is
$($Assume gravity free space, charge of electron $=1.6\times {10}^{-19}\mathrm{C}$ and mass of electron $\left.=9.1\times {10}^{-31} \mathrm{kg}\right)$

Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

A projectile thrown with an initial velocity of $10 \mathrm{m} {\mathrm{s}}^{-1}$ at an angle $\alpha$ with the horizontal, has a range of $5 \mathrm{m}.$ Taking $g=10 \mathrm{m} {\mathrm{s}}^{-2}$ and neglecting air resistance, what will be the estimated value of $\alpha ?$