We can decompose the problem on x- and y-axis.
The position vector decomposed is:
The velocity vector can be found computing the derivative of r on both axes:
So, the velocity vector is
r' = 1i+2atj
The speed (the magnitude of the velocity vector) is
Finally we can write the acceleraion vector by performing derivation on the velocity vector:
and so
r''=2a j
The position vector decomposed is:
The velocity vector can be found computing the derivative of r on both axes:
So, the velocity vector is
r' = 1i+2atj
The speed (the magnitude of the velocity vector) is
Finally we can write the acceleraion vector by performing derivation on the velocity vector:
and so
r''=2a j