Physics lab...Examining projectile motion on a flat frictionless air table that is tilted. The puck slides slowly with constant acceleration. a= g sin theta. The air table is on Planet X with g = 22.9 m/s²

A projectile motion on the air table is in the shape of an upside-down U.

For a projectile motion, the average V_x is 630 mm/s. The average a_y is 22,050 mm/s²

1). If the first value of V_x is 630mm/s and the value of V_y is 2170 mm/s, combining these values into a magnitude and direction gives V_1. What is V_1?

2) For a projectile with an initial velocity of V_1, prove that the maximum height the projectile will attain is:

Y_max = [V₁² sin²theta]/2g (***g in this formula is the acceleration down the ramp)

Derive this formula