Homework Help: Calculus (Vector-Valued Functions)

Posted by TheThinker on Friday, January 27, 2012 at 10:13pm.

"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"

Calculus (Vector-Valued Functions) - Damon, Saturday, January 28, 2012 at 8:41am
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

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