Help!World Problem:Calculus III Projectile Motion (Velocity & Acceleration)

Please someone help yikes!

Assuming there is no resistance and knowing that a(t)= -9.8 m/s^2

Determine the **maximum height** and **range** of a projectile fired at a height of 1.5 meters above the ground with an initial velocity of a 100 meters per second and at an angle of 30 degrees above the horizontal.

Answers in back of book:

maximum height: 129.1 meters

range: 886.3 meters

(how do you go about solving this problem using Vector-Valued Functions such as **r**(t)= x(t)**i** + y(t)**j** etc. )