10. A flowerpot falls off a windowsill and takes T seconds to go from the top to the bottom of the window. The window is h meters high. Given [h, T], determine how far above the window is the windowsill.
11. Ball A is dropped from the top of a building of height H at the same instant Ball B is shot vertically twice the speed of B. Given [H], determine the height of the collision point. Ans. h = 2/3H
12. A car starts from rest and accelerates at a for T seconds. The speed is then held constant for another T seconds. The car then decelerates at a/2 until it stops. Given [a, T], determine the total distance traveled by the car. Ans. D = 5/2aT^2
13. A rocket starts from rest and accelerates vertically upward at a value twice that of gravity for T seconds. The engines are then cutoff with only the downward gravity affecting the rocket. Given [T], determine:
a. The maximum height attained by the rocket. Ans. H = 3gT
b. The time from launch to just before hitting the ground. Ans. T = T^3+
c. The speed of the rocket just before hitting the ground. Ans. |v| = gT