Introduction to Projectile Motion

Q. A projectile is fired from the surface of the earth with a velocity of $5\text{m/s}$ at an angle $\theta$ with the horizontal. Another projectile, fired from another planet with a velocity of $3\text{m/s}$ at the same angle, follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of acceleration due to gravity on the planet (in $m{s}^{-2}$) is $\left({\text{Given g = 9.8 ms}}^{-2}\right)$

1. $3.5$
2. $5.9$
3. $16.3$
4. $110.8$

Q. Find the equation of trajectory of projectile projected at an angle 60 and has an initial velocity of 2 $m{s}^{-1}$.

1. 
2. 
3. 
4. 

Q. A ball is thrown from a building $10\text{m}$ tall towards another building $75\text{m}$ away at an initial velocity of $30\text{m/s}$ at an angle of ${30}^{\circ }$ with the horizontal. The height of the other building is also $10\text{m}$. Take $g=10{\text{m/s}}^2$. Choose the correct statement from the options given below:

1. The $Y$ component of the velocity is greater than the $X$ component of the velocity.
2. The ball touches the building $1.728m$ below its original height.
3. The ball falls short of the building by $1.728m$.
4. The ball flies over the other building.

Q. A bullet with muzzle velocity $100\sqrt{2}\text{m/s}$ is to be fired at an angle of ${45}^{\circ }$ with the horizontal. Find the coordinates of bullet after $t=4\text{s}$, assuming bullet was initially at origin. Take $g=10{\text{m/s}}^2$.

1. $400\text{m},320\text{m}$
2. $400\text{m},240\text{m}$
3. $140\text{m},290\text{m}$
4. $40\text{m},165\text{m}$