Question

In one dimensional motion, instantaneous speed $v$ satisfies $(0\le v<v_0)$

• A. The displacement in time $T$ must always take non negative values
• B. The displacement $x$ in time $T$ satisfies $-v_{0}T<x<v_{0}T$
• C. The acceleration is always a non-negative number
• D. The motion has no turning points

Answer 1

Answer: (B)

For maximum and minimum
displacement we have to keep in mind the magnitude and direction of maximum velocity.
As maximum velocity in positive direction is $v_0$
maximum velocity in opposite direction is also $v_0$.
Maximum displacement in one direction $=v_{0}T$
Maximum displacement in opposite directions $=-v_{0}T$
Hence, $-v_{0}T<x<v_{0}T$