9) The plot at the right is a plot of position x (in meters) versus time t (in s

Question

9) The plot at the right is a plot of position x (in meters) versus time t (in seconds) for particle moving along the x axis. a) Please calculate the instantaneous yelocity of t object at t = 6.0 s. (4pts) 20 0 2time G) 10 b) Determine the average velocity of the particle over the time interval from 0 to 12.0 s. (4pts) 2s 20 10) Now interpret the graph of problem 9) immediately above as a graph of velocity (m/s) versus time for a particle moving along the x axis and answer the following:(4pts each) a) Calculate the instantaneous acceleration of b) Calculate the average velocity of the the object at t-2.0s particle over the time interval from 0 to 2.0 s.

Explanation / Answer

9. (a) instantaneous velocity = ds/dt

But graphically, slope of a curve (at the desired point)= instantaneous velocity ( of that point)

So, slope = 1.66. Thus, inst. Vel. = 1.66 m/s

(b) avg. Vel. = Total displacement/ total time taken = 2.08 m/s

10. (a) inst. Acceleration = 1.66 m/s^2

(b) avg vel. = 2.08 m/s

Related Questions

Navigate

• Browse (All)
• Browse 9
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.