018 The position of a particle moving along an x axis is given by x-13.0e? 4.00,

Question

018 The position of a particle moving along an x axis is given by x-13.0e? 4.00, where x is in meters and t is in seconds particle at t-3.00s (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (r) what is the maximum positive velocity reached by the particle and (g) at whet time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t 0)? (1) Determine the average velocity of the particle between t 0 and t 3.00s n of the (a) Number (b) Number (c) Number (e) Number () Number (g) Number

Explanation / Answer

a] x = 13t^2 - 4t^3

= 13*3^2 - 4*3^3

= 9 m

b] v = dx/dt = 26t - 12*t^2

= 26*3 - 12*3^2

= -30 m/s

c] a = dv/dt = 26 - 24t

= 26 - 24*3

= - 46 m/s^2

d] for maximum, v = 0

26t - 12*t^2 = 0

t = 26/12 = 2.1667s

x = 13*2.16667^2 - 4*2.16667^3

= 20.34 m answer

Related Questions

Navigate

• Browse (All)
• Browse
• Subjects

---

---

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