Question

Integration of a=dt(sinπt+cosπt)
Please help me with this question!
WITH EXPLANATION
AND NO SPACE FOR SPAMMERS HERE!​

Answer 1

Solution:  The acceleration of a particle is the time rate of change of the velocity with

respect to the frame of reference.

 

Strategy:  Take the derivative of the velocity with respect to time and evaluate at t = 2 sec.

 

aP  =  d vP /dt  =  [ sin πt/4  i  +  cos πt/4  j ]  +  t [ π/4 cos πt/4 – π/4 sin πt/4 ]

 

at    t = 2 sec   aP  =  sin π/2  i  +  cos π/2  j + 2 (π/4) [ cos π/2 i  - sin π/2 j ]

 

therefore the result is:        aP  =  i - π/2 j  ft/sec2