A child throws a ball with a velocity of 1.93 m/s [horizontally] at a height of 0.75 m. If air resistance is negligible, the horizontal range of the ball is:
Question 6 options:
A) 0.30 m
B) 4.9 m
C) 0.76 m
D) 0.20 m
E) 0.73 m
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OpenStudy (mtalhahassan2):
@Astrophysics @Vincent-Lyon.Fr
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OpenStudy (mtalhahassan2):
@baru @Irrati0nal
OpenStudy (baru):
first find time(t) required for an object to free fall from a height of 0.75m
(use s=1/2gt^2)
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OpenStudy (baru):
1.93*t gives the required answer
OpenStudy (mtalhahassan2):
g be 9.8 m/s right?
OpenStudy (baru):
yes
OpenStudy (mtalhahassan2):
well i am getting 18.25
OpenStudy (baru):
\[0.75=0.5 \times 9.8 \times t^2\]
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OpenStudy (baru):
t=0.39
OpenStudy (mtalhahassan2):
so for finding the time you divide 0.75/1.93 which gives 0.39 right?
OpenStudy (baru):
no
OpenStudy (baru):
we get 't' from solving this equation\[0.75=0.5 \times 9.8 \times t^2\]
OpenStudy (baru):
\[t=\sqrt{\frac{0.75}{0.5\times 9.8} }\]
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OpenStudy (mtalhahassan2):
why did you put square root?
OpenStudy (baru):
after finding 't'
multiply 1.93 X t to find "range"
OpenStudy (baru):
the formula has t square, (\(t^2\))
OpenStudy (mtalhahassan2):
oh yeah
OpenStudy (mtalhahassan2):
so know we have to multiply 1.93x0.39
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OpenStudy (baru):
yes
OpenStudy (mtalhahassan2):
i get 0.7527
OpenStudy (baru):
option C is the closest match
OpenStudy (mtalhahassan2):
yeah
OpenStudy (mtalhahassan2):
@baru thanks a lot
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