- #1
maiamorbific
- 5
- 0
Homework Statement
Girl kicks ball straight up, makes contact with ball 1 m above ground, initial velocity = 3 m/s
a.) How high does the ball go?
b.) How long until it hits the ground?
c.) If she had given it an initial x-component of velocity of 2 m/s (same y-component), how far would the ball land from her?
d.) With what velocity would it hit the ground?
Homework Equations
vf2 = vi2 + 2ay(yf-yi)
vf = vi + at
xf = xi + vit + 1/2axt2
The Attempt at a Solution
a.) vf2 = vi2 + 2ay(yf-yi)
0 = 32 + 2(9.8)(yf - 1)
-9 = 19.6yf - 19.6
10.6/19.6 = yf
yf = 0.5408 m
This seems like a really small number; shouldn't it be higher?
b.) vf = vi + at
0 = vi + -gt
t = vi/g
t = 3/9.8 = 0.306 s
0.306 s * 2 = 0.612 s (because the flight curve is symmetric)
I'm not really sure what equations to use for parts c and d, neither am I sure if parts a and b are correct.
Thank you very much!