Final answer:
The motion of a rocket launched at an angle can be described using projectile motion equations. Calculating range, max height, and time in the air requires component analysis and kinematic formulas, assuming negligible air resistance and a constant gravitational field.
Step-by-step explanation:
When a rocket is launched at an angle of 34.50 degrees with a velocity of 1280 m/s, we can analyze its motion by breaking it down into horizontal and vertical components. The range, max height, and time in the air can be calculated using the equations of projectile motion.
To find the horizontal range, we use the formula: Range = (v^2 * sin(2*angle)) / g, where v is the initial velocity, angle is the launch angle, and g is the acceleration due to gravity.
The maximum height is found using: Max Height = (v^2 * sin^2(angle)) / (2*g).
The time in the air, or total flight time, is given by: Time in Air = (2 * v * sin(angle)) / g.
Using these formulas, we can solve for the desired quantities assuming negligible air resistance, a flat Earth, and a constant acceleration due to gravity.