- #1
Bensky
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Need help on another freefall problem. :(
A foul ball is hit approximately straight up into the air with a speed of 35 m/s.
a) How high does it go (above the bat): Already figured this out, 62.5m. The initial velocity in this problem was 35 m/s.
b) If it clears the backstop on the way up but gets caught and stuck in the backstop 4.00 meters above the bat on the way back down, how long is it in the air? (need help on this one)
variables:
t=?
g=-9.8 m/s^2
x=4 m
x0=62.5m
v0=0 m/s
v=0 m/s
x=x0+v0t+(1/2)at^2
x=x0+v0t+(1/2)at^2
4=62.5+(1/2)(-9.8)(t^2)
-58.5=-4.9t^2
t^2=11.93877551
t=3.455253321
Now, the correct answer to this problem is supposed to be 7.03s according to my teacher (he gave us the answers to check our work), but I obviously did something wrong and can't figure out what it is. I'm thinking maybe x isn't 4m, but I'm not sure. Any help is appreciated, thanks. :)
Homework Statement
A foul ball is hit approximately straight up into the air with a speed of 35 m/s.
a) How high does it go (above the bat): Already figured this out, 62.5m. The initial velocity in this problem was 35 m/s.
b) If it clears the backstop on the way up but gets caught and stuck in the backstop 4.00 meters above the bat on the way back down, how long is it in the air? (need help on this one)
variables:
t=?
g=-9.8 m/s^2
x=4 m
x0=62.5m
v0=0 m/s
v=0 m/s
Homework Equations
x=x0+v0t+(1/2)at^2
The Attempt at a Solution
x=x0+v0t+(1/2)at^2
4=62.5+(1/2)(-9.8)(t^2)
-58.5=-4.9t^2
t^2=11.93877551
t=3.455253321
Now, the correct answer to this problem is supposed to be 7.03s according to my teacher (he gave us the answers to check our work), but I obviously did something wrong and can't figure out what it is. I'm thinking maybe x isn't 4m, but I'm not sure. Any help is appreciated, thanks. :)
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