a ball is dropped from rest from a tower and strikes
the ground 125m below. Approxmiately how many
seconds does it take for the ball to strike the ground
after being dropped. Neglect air resistance
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OpenStudy (anonymous):
gravity is being used in this one, right?
OpenStudy (anonymous):
so change a with g
OpenStudy (anonymous):
let's start
given:
Vi=0 m/s
acceleration due to gravity= 9.8 m/s^2
displacement: 125m
time=?
OpenStudy (anonymous):
yes, you're right
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
y=0 right?
OpenStudy (anonymous):
and y initial=125?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
so which formula are we going to use?
we don't have \(V_f\) so...?
OpenStudy (anonymous):
I got -4.9t squared+t+125=0
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OpenStudy (anonymous):
so does this mean time for quadtatrics?
OpenStudy (anonymous):
or did I mess up?
OpenStudy (anonymous):
I got 5.15 s
OpenStudy (anonymous):
is relatively close to 5.05 s, the answer
OpenStudy (anonymous):
i want to do it, step by step , so bare with me XD
so i will use
\[\Delta d=V _{i}\Delta t + \frac{ 1 }{2 } a \Delta t ^2\]
Vi=0 so it will cancel out
it will become
\[\Delta d=\frac{ 1 }{2 } a \Delta t ^2\]
then evaluate, to solve for \(\Delta t\)
so it will be (\Delta t=\sqrt {\frac{2 \Delta d}{a}}\)
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OpenStudy (anonymous):
\(\LARGE \Delta t=\sqrt {\frac{2 \Delta d}{a}}\)
OpenStudy (anonymous):
did you get what i did?
OpenStudy (anonymous):
yeh
OpenStudy (anonymous):
wat was your final answer?
OpenStudy (anonymous):
I got time by using the quadratic formula
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OpenStudy (anonymous):
which was 5.05s, the answer
OpenStudy (anonymous):
approx. 5.05 s
OpenStudy (anonymous):
YEAH, my hero!!!!!
OpenStudy (anonymous):
lowl, i'm practicing too XD
nice questions
OpenStudy (anonymous):
ok, next problem?
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