Consider the motion of a particle that experiences a variable acceleration given

Question

Consider the motion of a particle that experiences a variable acceleration given by ax ao bt, where ao and b are constants and x xo and vx vo at t 0. (Use following as necessary: ao, vo, xo, b, and t. (a) Find the instantaneous velocity as a function of time (0.5) bt v (b) Find the position as a function of time. (0.5) +0.17bt c) Find the average velocity for the time interval with an initial time of zero and arbitrary final time t. (0.5) ant 0.17 bt (d) Compare the average of the initial and final velocities to your answer to Part (c). Are these two averages equal? Yes No Explain

Explanation / Answer

ax = a0 + bt

Integrate the same to get velocity and double integrate to get position

1) velocity = vx = a0t+bt^2/2+v0

2)position = x = a0t^2/2+bt^3/6+v0t+x0

4)average velocity =a0t+bt^2/2+v0

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---