A particle has position x = |t−2| metre. Its instantaneous velocity at t=2 s is:

Question

G1 Physics · Accepted Answer

For t<2, x=2−t, so v=−1 m s⁻¹. For t>2, x=t−2, so v=+1 m s⁻¹. The left-hand and right-hand derivatives at t=2 are different. Therefore instantaneous velocity at t=2 is not defined.