1. A rocket has an upward acceleration a(t) =9.0t m/s^2 fpr the first 5 seconds of its flight, and thereafter, is in freefall.
What is the greatest height that the rocket achieves?
Assume that the initial position and velocity are both zero.
2. A particle leaves the origin with an initial velocity vi= 10i m/s. It undergoes a constant acceleration given by a= (2.0i - 1.0j) m/s^2.
a. How long does it take to reach a speed of 20 m/s at 13.7 degrees below the horizontal?
b. What is its distance from the origin when its speed reaches 20 m/s?