The Symmetry of the Path Traced

Q. A particle is projected with speed $u$ to just pass over a tower of height $h$. The product of the two possible times taken to pass over the tower is

1. $\frac{2u}{g}$
2. $\frac{2h}{g}$
3. $\frac{u}{g}$
4. None

Q. A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be

1. Parabolic
2. Inclined straight line
3. Vertical straight line

4. Horizontal straight line

Q. Projectile A is thrown horizontaly from tower of height H and projectile B is thrown from the ground at an angle $\theta$ as shown in the figure. During the duration when both are in air,

1. Path of A as seen by B will be a straight line
2. Path of A as seen by B will be a parabola
3. Motion of A is uniformly accelerated as seen by B.
4. Relative acceleration of A with respect to B is zero

Q. A particle is thrown with speed $u$ at an angle of projection $\theta$ with horizontal as shown in figure. Choose the correct statement.

1. Average velocity between $O$ and $D$ is $u\cos \theta$
2. Average velocity between $A$ and $C$ is $u\cos \theta$
3. Dot product of vertical components of velocities at $A$ and $C$ is negative.
4. All of these