Question

please answer the question ​

Answer 1

we know that

V = u + at.......(1)

given that a= αt^3/2

put in (1)

V = u + (αt^3/2)*t

= u + αt^5/2

hence opt. (4) is right.

Answer 2

I think so if don't go threw the dy/dx process and directly keeping in v=u+at

v=u + (alfa*t^3/2)t

v=u + (alfa*t^5/2)

it means Answer is option 4