Question Number 103703 by mohammad17 last updated on 16/Jul/20

if an object moves along a straight line according to the relationship( x(t)=((1/2)t^2 −t+2)) find (1) the average speed between (x=(3/2) , x=(7/2)) (2) the pelvic velocity between (x=(7/2))

Answered by Dwaipayan Shikari last updated on 16/Jul/20

Average velocity=((△S)/(△t))=(2/2)=1(m/s) △S=2 (3/2)=(1/2)t_1 ^2 −t_1 +2 (at x=(3/2)) t_1 =1 (7/2)=(1/2)t_2 ^2 −t_2 +2 t_2 =3 so △t=2 Instantaneous speed x=(7/2) is at t=3 ((d(x(t)))/dt)=t−1=3−1=2(m/s)