A Ball is thrown upward from a height of 15 Feet with an initial upward velocity of 5 ft/s.?
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y(t) = 1/2at^2 + V(0)t + y(0) (a is constant and it’s equal to g=9.81 m/(s^2) as it’s a free fall)
but with the formula you gave what is s?? if we consider the units, s must be a height. I’ll suppose that it’s the initial height (15ft).
we’re looking for t when h=0
h = -16t^2 + v(0)t + s
0 = -16t^2 + 5t + 15
using quadratic formulas, you can find 2 values of t, but just 1 positive value. as time cannot be negative, the positive value is the correct one, and it’s the one found by calculating (i cant put square root so i’ll put sr):
(-5 – sr(25-4*(-16)*15))/(2*-16) = mmmMMMMMMM u can do it…
it’s almost T = 1.125s
if you think about it, H = y and t = x
it’s a simple quadratic graphing problem
Your answer is:
T = 1.137 seconds about.
then solve for t
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