The report should have the following five sections. Each section must be written by a separate student. The whole report must be in a single Google Colab file and attached from Google Drive into the associated Google Classroom assignment.

A projectile

List of apparatus: table, bench, ramp, marble ball, recording paper, carbon paper, adhesive tape, long meter scale, short meter scale, weight scale.

Using the six measurements you will have to calculate the following quantities.

Time for the ball to leave the ramp and reach point A

$$t = \sqrt{\frac{2h}{g}}$$

where gravitational acceleration $g=981\pm 1$ cm s$^{-2}$.

Horizontal component of the acceleration of the ball $a_x=?$

The unchanging horizontal velocity of the ball $v_x = s/t$.

Vertical velocity of the ball just before it hits the table at point A $v_y = gt = -\sqrt{2gh}$.

The time the ball takes to reach point B from point A $t_{AB} = (s'-s)/v_x$.

Vertical component of the velocity of the ball after it leaves point A $v_y' = g t_{AB} / 2$.

Net velocity of the ball before it impacts at A $v = \sqrt{v_x^2+v_y^2}$.

Net velocity of the ball after it impacts at A $v' = \sqrt{v_x^2+v_y'^2}$.

Maximum height the ball reaches between points A and B

$$h' = \frac{g}{2}\left(\frac{t_{AB}}{2}\right)^2.$$

The angle of the trajectory before reaching A

$$\theta = \arctan{\frac{v_y}{v_x}}$$

and after leaving A

$$\theta' = \arctan{\frac{v_y'}{v_x}}.$$

Kinetic energy of the ball before collision at point A

$$E = \frac{1}{2} mv^2.$$

Kinetic energy of the ball after collision at point A

$$E' = \frac{1}{2} mv'^2.$$

Vertical component of the momentum before reaching A $P_y=mv_y$ and after leaving A $P'_y = mv'_y$.

Horizontal component of the momentum before reaching A $P_x=mv_x$.

Net momentum before reaching A $p = mv$.

Net momentum after leaving A $p' = mv'$.

Vertical component of the impulse imparted on the ball by the table $J_y = p_y - p'_y$.

Horizontal component of the impulse imparted on the ball by the table $J_x = p_x - p'_x$.