Let be the set of all students in FIU. Determine whether the two following binary relations on defined below are reflexive, irreflexive, symmetric, antisymmetric and transitive? Support your answer, for each property, with a general proof or a counterexample.

The projectile was launched in the air with 4m/s of initial vertical velocity and 7m/s of initial horizontal velocity. The horizontal velocity of the projectile at the apex will be ______.

A water heater rated at 5 KVA, 240V, 1-phase will have a calculated current rating of 20.83A

A water heater rated at 5 KVA, 240V, can have a branch circuit calculated current rating of 26.04

A water heater rated at 5 KVA, 240V, 1-phase will have a protection device rated 150% result in a calculated rating 31.25A

Increasing the projection angle in the range of 0 to 45 degrees will increase all of the following, EXCEPT:

A water heater rated at 5 KVA, 240V, 1-phase can use a breaker rated with a minimum rating of 25A

Which of the following describes the effects of gravity on the projectile motion in the horizontal direction?

Which of the following will NOT improve the high jumper’s performance (i.e., peak height)?

When the release height is higher than the landing height, the optimal projection angle to maximize the horizontal displacement of a projectile is ____.