Starting from a stationary position, Anil paddles his bicycle to attain a velocity of 10 m s
-1
in
25 s. Then, he applies brakes such that he again comes to rest after next 50 s.
Calculate the acceleration of the bicycle in both cases.
Also find the total distance covered by Ani
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Answer:
acc & distance in 1st case :
given t = 25sec , u = 0m/s , v = 10m/s
from 1st equation of motion ,
v = u + at
=> 10 = 0 + a(25)
=> a = 10/25 = 0.4m/s^2
from 2nd equation of motion ,
v^2 - u^2 = 2as
=> 100 = 2(0.4)(s)
=> 100/0.8 = s
=> s = 125m
acc & distance in 2nd case :
the final velocity in 1st case becomes initial velocity in 2nd case so
u = 10m/s , t = 50sec , v = 0m/s
from 1st equation of motion ,
v = u + at
=> 0 = 10 + a(50)
=> -10 = 50a
=> a = -10/50 = -0.2m/s^2
here acc is negative because it indicates its direction which is opposite to direction of motion
by second equation of motion,
v^2 - u^2 = 2as
=> 0^2 - 10^2 = 2(-0.2)(s)
=> -100 = -0.4s
=> s = 100/0.4 = 250m
∴total distance covered in both cases is 250 + 125 = 375m
hope it helps u !!!!!
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