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:  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:  Speed & Velocity |
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