SECTION B
A body falls freely from rest, find
(a) The distance it falls in 3 seconds
(b) Its speed after falling 20m
(c) The time required to reach a speed of 25m/s.
(d) Time taken to fall 80m. (Take g = 10m/s²)
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u = 0m/s
g = 10m/s²
a) t = 3
s = ut+½at² = 0+½×10×3² = 45m
Distance it falls in 3 seconds = 45m
b) s = 20m
v²=u²+2as
v² = 0+2×10×20
v² = 400
v = 20m/s
Speed after falling 20m = 20m/s
c)v = 25m/s
v = u+at
25 = 10t
t = 2.5s
Time taken to aquire a speed of 25m/s = 2.5s
d)s = 80m
s = ut+½at² => 80 = ½×10×t²
=>80/5 =t²
=>16 = t²
=> t = 4s
Time taken to fall to a distance of 80m = 4s
Cheers!
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