An automobile travelling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 0.16 km. If the acceleration is constant, how much time elapses while the automobile move this distance?
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Answer:
Acceleration : 125 m/s^2
Time : 0.16 s
Explanation:
First we’ll find ‘a’ by using
v^2 = u^2 + 2as
(50)^2 = (30)^2 +2*0.16*a
2500=900+3.2(a)
400 =3.2(a)
125=a
a = 125 m/s^2
Now for finding time we’ll use :
v=u+at
50=30+125(t)
20=125(t)
0.16=t
t = 0.16s
Hope it was helpful:)
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