A particle moving along a straight line with a velocity of 2m/s is accelerated uniformly in the same direction.(i) If its velocity becomes 20m/s at the end of 9s, find the accelaration.(ii) Calculate its velocity when the displacement is 35m.
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so initial velocity is 2 ms^-1
and final velocity is at the end of 9 sec is 20 ms^-1
since it is uniform acceleration it will be constant throughout the journey
v=u+at
20 = 2 + a×9
a = 2ms^-2
acceleration is 2ms^-2
to find velocity at 35m use v^2 - u^2 = 2as
s = displacement
v = final velocity at 35m
u = initial velocity
a = acceleration
put the values
v^2 = u^2 + 2as
v^2 = 2^2 + 2×2×35
v^2 = 144
v = sqrt 144
v = 12 ms^-1
hence the velocity is 12ms^-1
here aqrt means sqyare root
hop it helps !!
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