Separate variables. [ \fracdv2 - 0.1v = dt ]
Don’t just copy the solutions. Cover the answer, work the problem, then use the manual to check your vector sign conventions and integration limits . That’s how you build intuition for the midterm. 3. Q&A Style (For Chegg / Physics Forums / Reddit’s r/EngineeringStudents) Question: “I’m stuck on Problem 11.45 from Vector Mechanics for Engineers Dynamics 11th Edition. It’s about a particle moving along a straight line with acceleration ( a = 2 - 0.1v ). The solutions manual shows an integration step I don’t follow. Any help?” Separate variables
If you’re an engineering student staring down Chapter 11 of Beer & Johnston’s Dynamics , you already know: kinematics is the gatekeeper. Get through this, and the rest of dynamics (Newton’s laws, work-energy, impulse-momentum) becomes manageable. Fail here, and you’re lost. That’s how you build intuition for the midterm
That’s a classic variable acceleration problem. The solutions manual for Ch. 11 is correct, but let me clarify the logic. It’s about a particle moving along a straight
Solve for ( v(t) ) using initial condition (usually ( v_0 ) at ( t=0 )). The manual then often uses ( v = dx/dt ) to find ( x(t) ) with a second integration.