SOLUTION: How far will a rubber ball fall in 10 seconds?

Algebra ->  Test -> SOLUTION: How far will a rubber ball fall in 10 seconds?      Log On


   

Question 382629: How far will a rubber ball fall in 10 seconds?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
On Earth, the position of a ball in free-fall (ignoring air resistance) is modeled by

X+=+%281%2F2%29at%5E2+%2B+vt+%2B+x,

where a = -9.81 m/(s^2), v = the original velocity, x is the original x position, and t is time.
Assuming x = 0 m, v = 0 m/s, we have
X = (1/2)(-9.81 m/(s^2))(10 s)^2 = -490.5 m
Without air resistance, the ball would've fallen 490.5 meters. However I'm sure that it would've reached terminal velocity before then :)