The function s (t) describes the motion of a particle along a line. s (t) - t^2

Question

The function s (t) describes the motion of a particle along a line. s (t) - t^2 - 5t + 2 Find the velocity function v (t) of the particle at any time t greaterthanorequalto 0. Identify the time interval (s) in which the particle is moving in a positive direction. (Enter your answer using interval notation.) Identify the time interval (s) in which the particle is moving in a negative direction. (Enter your answer using interval notation.) Identify the time (s) at which the particle changes direction. (Enter your answers as a comma separated list.)

Explanation / Answer

a) v(t) =ds/dt =2t-5

b)velocity will be +ve when 2t-5>0 ; t>5/2 (5/2,infinity)

c) velocity will be -ve when 2t-5<0 =t<5/2 (-infinity,5/2)

d) hence it will change direction at t=5/2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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