The following are four different relations about displacement, velocity, and acceleration for the motion of a particle in general. Choose the incorrect statement(s):

 a. $$v_{avg}=\frac{1}{2} [ v(t_{1})+v(t_{2}) ]$$ b. $$v_{avg}=\frac{r(t_{2})-r(t_{1})}{t_{2}-t_{1}}$$ c. $$r=\frac{1}{2}[ v(t_{2})-v(t_{1}) ](t_2-t_1)$$ d. $$a_{avg}=\frac{v(t_{2})-v(t_{1})}{t_{2}-t_{1}}$$

 1 (a), (d) 2 (a), (c) 3 (b), (c) 4 (a), (b)

Subtopic: Â Speed & Velocity |
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Given below are two statements:
 Assertion (A): For a given initial and final position the average velocity is single-valued while the average speed can have many values. Reason (R): Velocity is a vector quantity and speed is a scalar quantity.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic: Â Speed & Velocity |
Â 52%
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