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Question: Match the Column I with Column II <table> <colgroup> <col style="width: 14%" /> <col style="width: ...

Match the Column I with Column II

Column I

Physical quantity

Column II

Formula

(A)

Instantaneous

velocity, v =

(p)$$\frac{\Delta x}{\Delta t}$$
(B)

Average velocity,

=

(q)$\lim_{\Delta t \rightarrow 0}\frac{\Delta v}{\Delta t}$
(C)

Instantaneous

acceleration, a =

(r)$$\frac{\Delta v}{\Delta t}$$
(D)

Average

acceleration, a =

(s)$$\lim_{\Delta t \rightarrow 0}\frac{\Delta x}{\Delta t}$$
A

A – p, B – q, C – r, D – s

B

A – r, B – s, C – p, D – q

C

A – s, B – p, C – q, D – r

D

A – q, B – r, C – s, D – p

Answer

A – s, B – p, C – q, D – r

Explanation

Solution

Instantaneous velocity, v=limΔt0ΔxΔtv = \lim_{\Delta t \rightarrow 0}\frac{\Delta x}{\Delta t}

A – s

Average velocity, v=ΔxΔt\overline{v} = \frac{\Delta x}{\Delta t}

B – p

Instantaneous accelerations, a=limΔt0ΔvΔta = \lim_{\Delta t \rightarrow 0}\frac{\Delta v}{\Delta t}C – r

Average accelerations, a=ΔvΔt\overline{a} = \frac{\Delta v}{\Delta t} D – r