A particle moving in the xy-plane has a position vector for .The acceleration vector of the particle is
A)
B)
C)

Question

​A particle moving in the xy-plane has a position vector  for  .The acceleration vector of the particle is ​
A)​ 
B)​ 
C)​

Quizplus · Accepted Answer

To find acceleration, we need to take the second derivative of position with respect to time. 
Given position vector: 
r = 11eac44f_ebba_5894_bedf_53848faf2fec_TB7497_11
We take the derivative to find the velocity vector: 
v = dr/dt
= d/dt (11eac44f_ebba_5894_bedf_53848faf2fec_TB7497_11)
= 11eac44f_ebba_7fa6_bedf_d15ebbe8d602_TB7497_11
We take the derivative again to find the acceleration vector: 
a = dv/dt 
= d/dt (11eac44f_ebba_7fa6_bedf_d15ebbe8d602_TB7497_11)
= 11eac44f_ebba_a6b8_bedf_01990ec2745a_TB7497_11
Therefore, the correct choice is C.

​A Particle Moving in the Xy-Plane Has a Position Vector

A Particle Moving in the Xy-Plane Has a Position Vector