NUMERICALS

An arrow is thrown in the air. Its time of flight is $5 s$ and the range is $200 m$. Determine the vertical component of the velocity of projection.

An arrow is thrown in the air. Its time of flight is $5 s$ and the range is $200 m$. Determine the horizontal component of the velocity of projection.

An arrow is thrown in the air. Its time of flight is $5 s$ and the range is $200 m$. Determine the maximum height.

An arrow is thrown in the air. Its time of flight is $5 s$ and the range is $200 m$. Determine the angle made with the horizontal.

A cannon is to fire up to $500 m$ horizontally. What should be the angle of projection, if the shells are fired with a velocity of $100 m{s}^{-1}$

A stone is thrown from a bridge at an angle of $30°$ down with the horizontal with a velocity of $25 m{s}^{-1}$. If the stone strikes the water after $2.5$  seconds, then calculate the height of the bridge from the water surface.

A stone is thrown from the top of a tower at an angle of $30°$ up with the horizontal with a velocity of $16 m{s}^{-1}$. After $4$ seconds of flight it strikes the ground. Calculate the height of the tower from the ground and the horizontal range of the stone.

A player throws a ball at an angle of $30°$ up with the horizontal with a velocity of $14 m{s}^{-1}$. If the point of projection is at a height of $12 m$ from the ground, then calculate the distance up to which the ball is thrown by the player.