Calculus (Vector-Valued Functions)
posted by TheThinker .
"a ball is thrown horizontally from the top of a cliff 256 ft high with an intial speed of 50 ft/sec. find the time of flight of the ball and the distance from thr base of the cliff to the point where the ball lands"
Good grief, feet and pounds? Well, just for now g = 32 ft/s^2
The horizontal speed is 50 feet/seconds until the ball hits the ground since there are no horizontal components of force.
256 = (1/2) g t^2 = 16 t^2
t = 4 seconds
d = u t = 50 * 4 = 200 feet