Oil shown in Figure 1 flows through the reducer such that pa

Oil shown in (Figure 1) flows through the reducer such that particles along its centerline have a velocity of V=(7x+4t)in./s, where x is in inches and t is in seconds.

Solution

Derive the velocity term to get acceleration

DV/DX,DT = 7+4

=11 in2/s

Acceleration of the particle at any time at any place is 11 in2/s