Find centripetal acceleration For a body in a motion with,
v = 2t i + t^2 j
i --- x direction
j ---- y direction.

Question

Find centripetal acceleration For a body in a motion with,
v = 2t i + t^2 j
i --- x direction
j ---- y direction.

anonymous · Answer

This is trajectory actually a parabola.I don't think that the particle executes circular motion.

anonymous · Answer

Nevertheless, for any curvilinear motion, a centripetal acceleration always exists.

anonymous · Answer

Well in that case at what time do you want the centripetal acceleration to be calculated or is it a general case that you want?

anonymous · Answer

A general way to attempt this problem.

experimentx · Answer

do you know the answer?

anonymous · Answer

Not yet.

anonymous · Answer

What is the origin with respect to which you want to calculate the centripetal acceleration.

anonymous · Answer

I mean the center.

anonymous · Answer

can u find magnitude of v

anonymous · Answer

Yes it is the magnitude of the velocity vector.

experimentx · Answer

I'm not sure ....  most likely, you need radius, 
x = t^2, y=t^3/3
and you need transverse component of velocity ... (most likely, this is related to  curvature problem)

anonymous · Answer

@kartiksriramk I don't follow. The equation of the velocity should suffice.

anonymous · Answer

I dont think this will work but,|dw:1344184173812:dw|