The initial velocity of a particle is u (at t= 0) and the acceleration a is given by alpha t3/2. Which of the following relations is valid?
1. v = u + αt3/2
2. v = u + 3/2αt3
3. v = u +2/5αt5/2
4. v = u + αt5/2
why to use integration in this question
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Answer:
Explanation:
Given initial velocity =u, acceleration =αt
3/2
Also we know
dt /du =a
du=adt
Now integrating the above equation we get,
du=α∫ 0 or t t 3/2 dt
v−u= 5/2 αt 2 /5
v=u+ 2 / 5 αt 5/ 2
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