Question

2-) An object moves along the x axis according to the equation X(t) = (2t2 – 3t+2)m Determine (a) the average speed between t = 1 s and t = 2 s (b) the instantaneous speed at t = 1 and at t = 2, (c) the average acceleration between t = 1 and t = 2, and (d) the instantaneous acceleration at t = 1 and t = 2.

Answer 1

Solution (a) average speed, = 2 -, V = [2(232-3(2)+2]-[2023(0+27 2-to av 2-1

Nav=| 3 mit (b) instantaneous speed at talb, V, dy at tel

V 2 4t. mis ed at t= 2A, 벌 5 mls = t 3 22 22

a au (c) avriage acceleration, 5 ml&- Imle 4 m/s2 24-13 V.2-V Ez-ti =

helyen (d) Instantaneous acceleration, a =1444-3) -14 MI AZ for tale is constant, 4m102t=240 Jato

The acceleration of object is constant is 4 m/s ²