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How can i find the speed of something that has fallen 72 inches in.99 seconds 10 points for first answer?
2 Answers
- GeronimoLv 76 years ago
+y = up
Vyi = initial velocity in the "y" or vertical direction
Vyғ = final velocity in the "y" or vertical direction
Hi = initial height = 6 ft
Hғ = final height = 0 (defined here)
g = -32.2 ft/sec
∆T = Tғ – Ti = 0.99 sec
∆h = Hғ – Hi
Hғ{t} = (½) • g • t² + (Vyi) • t + Hi ... height versus time equation
0 = (½) • (-32.2) • (0.99)² + (Vyi) • (0.99) + 6
Vyi = 9.878 ft/sec
Vyғ = (g • t) + Vyi ... velocity versus time equation
Vyғ = (-32.2)(0.99) + 9.878
Vyғ = -22 ft/sec
The final speed is 22 ft/sec