Projectile Motion

A particle is projected at an angle of $\theta$ with respect to the horizontal direction. Match the following for the above motion

The Moon is orbiting the Earth approximately once in $27 days,$ what is the angle traversed by the Moon per day?

An object is executing uniform circular motion with an angular speed of $\frac{\mathrm{\pi }}{12} \mathrm{radian} \mathrm{per} \mathrm{second}$. At $t = 0$ the object starts at an angle $\theta = 0$. What is the angular displacement of the particle after $4 \mathrm{s}?$

If an object is thrown horizontally with an initial speed $10 {\mathrm{ms}}^{-1}$ from the top of a building of height $100 \mathrm{m}$. What is the horizontal distance covered by the particle?

A football player hits the ball with the speed $20 {\mathrm{ms}}^{-1}$ with angle $30°$ with respect to horizontal direction as shown in the figure. The goal post is at distance of $40 \mathrm{m}$ from him. Find out whether ball reaches the goal post?

A object is thrown with initial speed $5 {\mathrm{ms}}^{-1}$ with an angle of projection $30°$. What is the height and range reached by the particle?

If Earth completes one revolution in $24 hours,$ what is the angular displacement made by Earth in one hour. Express your answer in radian and degree.

The following table gives the range of a particle when thrown on different planets. All the particles are thrown at the same angle with the horizontal and with the same initial speed. Arrange the planets in ascending order according to their acceleration due to gravity,(g value).

A water fountain on the ground sprinkles water all around it. If the speed of the water coming out of the fountain is $v$. Calculate the total area around the fountain that gets wet.

An object at an angle such that the horizontal range is four times the maximum height. What is the angle of projection of the object?