c Which trips if any have the same average vel d For which t

c) Which trips, if any, have the same average -vel d) For which trip, if any, is average x-velocity equal to zero? 2.2 (TYU 2.2and TYU 2.3) 0 The x-t graph above describes the motion of a particle. a) Rank the values of the particle\'s x-velocity v, at points P.QR, and S from most positive to most negative. b) At which points is the v, positive? c) At which points is the v,negative? d) At which points is the v,zero? e) Rank the values of the particle\'s speed at points PQR, and S from fastest to slowest. f) At which points is the a, positive? bus 8) At which points is the a, negative?

Solution

velocity is given by instantatneous slope of position vs time curve

a)velocity at P is positive,velocity at Q=0,velocity at R is negative and velocity at S=0

Therefore, raking of velocity from most positive to most negative is P,Q,S,R

b)Velocity Vx is positive only at P

c)Velocity Vx is gegative only at R

d)Velocity Vx is zero at Q and S

e)Since slope at R is higher than slope at P, speed at R is higher than speed at P

Therefore, the fastest to slowest ranking is R>P>Q=S

f)Acceleration ius positive at S because only at that location the velocity is becoming more positive

g)acceleration is negative at P and Q because the positive velocity is decreasing at those points