A body moving with an initial velocity of 2 metre per second accelerates uniformly at 0.5 metre per second square what is its velocity 10 second after start what is the displacement and what is its velocity when the displacement is 96 metre
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Answer:
(i) Velocity = 7m/s.
(ii) Displacement = 70m.
(iii) Velocity = 9.6 m/s.
Explanation:
Given:- initial velocity,u = 2m/s.
acceleration,a = 0.5m/s^2 = 1/2m/s^2.
time,t = 10s.
final velocity,v = ? (to be calculate).
displacement,d= ? (to be calculate).
We know that,
a = v-u/t.
=> 1/2 = v-2/10.
=> 10/2 = v-2.
=> 5 = v-2.
=> 5+2 = v.
=> v = 7.
So, velocity of body in 10 seconds will 7 metre per second.
And,
v=d/t.
=> d=v×t.
=> d=7×10.
=> d=70.
So, displacement of the body with velocity 7m/s in 10s will 70m.
Now,
v=d/t.
=> v=96/10.
=> v=9.6.
Hence, velocity when displacement is 96m in 10 seconds will 9.6m/s.
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