Problem 1: A projectile is following the following equation of motion: (t) = 30t + 3.11...

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Problem 1: A projectile is following the following equation of motion: (t) = 30t + 3.11 + 11.3 + 40t 1.85t2 with all values in proper SI units. a. (1 pt) what is the projectile launch position? b. (2 pt) what is the projectile initial velocity vector? (magnitude and angle) c. (3 pt) At what time will the projectile reach the maximum height? d. (2 pt) what is the position of the projectile at this time (from part c)? e. (3 pt) What will be the total range (displacement in x) of the projectile when it lands at ground level (i.e. y=0 m) f. (bonus 2 pt) On which planet is this launch taking place? Show reasoning! Problem 1: A projectile is following the following equation of motion: (t) = 30t + 3.11 + 11.3 + 40t 1.85t2 with all values in proper SI units. a. (1 pt) what is the projectile launch position? b. (2 pt) what is the projectile initial velocity vector? (magnitude and angle) c. (3 pt) At what time will the projectile reach the maximum height? d. (2 pt) what is the position of the projectile at this time (from part c)? e. (3 pt) What will be the total range (displacement in x) of the projectile when it lands at ground level (i.e. y=0 m) f. (bonus 2 pt) On which planet is this launch taking place? Show reasoning!