A small sphere is projected with velocity `5(m)/(s)` in a direction `37^(@)` from the horizontal y-axis on a smoother inclined plane. The motion of sphere takes plane in x-y plane. Magnitude of its velocity after 2 s is:

Options

A. `sqrt(65)`
B. `sqrt(55)`
C. `sqrt(36)`
D. `sqrt(45)`

Answer

A

Explanation

`v_(y)=5cos37^(@)=5xx(4)/(5)=4(m)/(s)`
`v_(x)=usin37^(@)-(gsin30^(@))xxt`
`v=sqrt(v_(x)^(2)+v_(y)^(2))=sqrt(49+16)=sqrt(65)`