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Equations of linear motion

Answer Text:
Equations of linear motion:
The following equations are applied for uniformly accelerated motion;
v = u + at
s = ut + ½ #at^2#
#v^2#= u2 +2as
Examples
1. A body moving with uniform acceleration of 10 m/#s^2# covers a distance of 320 m. if its initial velocity was 60 m/s. Calculate its final
velocity.
Solution
V2 = u2 +2as
= (60) +2×10×320
=3600+6400
= 10,000
Therefore v=# (10,000)^(1/2)#
v= 100m/s
2. A body whose initial velocity is 30 m/s moves with a constant retardation of 3m/s.
Calculate the time taken for the body to come to rest.
Solution
v = u + at
0= 30-3t
30=3t
t= 10 seconds.
3. A body is uniformly accelerated from rest to a final velocity of 100m/s in 10 seconds.
Calculate the distance covered.
Solution
s=ut + ½ at2
=0 × 10 + ½ ×10 × 102
= #1000/2#=500m