KEY2PHYSICS

#PROBLEM-60038

Suppose quantity \(s\) is a length and quantity \(t\) is a time. Suppose the quantities \(v\) and \(a\) are defined by \(v=ds/dt\) and \(a=dv/dt\). What is the dimension of \(v\)?

\([v]=L^2T^{2}\)

\([v]=LT\)

\([v]=L^{-2}T^{-1}\)

\([v]=LT^{-1}\)

#PROBLEM-60039

What is the dimension of the quantity \(a\)?

\([a]=LT^{-2}\)

\([a]=LT^{2}\)

\([a]=L^{-1}T^{-2}\)

\([a]=L^{-1}T\)

#PROBLEM-60040

What are the dimensions of \(\int v\; dt\)?

\(\big[\int v\;dt \big]=LT\)

\(\big[\int v\;dt \big]=L\)

\(\big[\int v\;dt \big]=LT^{-2}\)

\(\big[\int v\;dt \big]=L^{-1}\)

#PROBLEM-60041

What are the dimensions of \(\int a\; dt\)?

\(\big[ \int a\: dt\big]=LT^{-2}\)

\(\big[ \int a\: dt\big]=L^2T\)

\(\big[ \int a\: dt\big]=L^{-2}T^{-1}\)

\(\big[ \int a\: dt\big]=LT^{-1}\)

#PROBLEM-60042

What are the dimensions of \(\frac{da}{dt}\)?

\(\big[\frac{da}{dt}\big]=L^{-3}T\)

\(\big[\frac{da}{dt}\big]=L^{-1}T^{-3}\)

\(\big[\frac{da}{dt}\big]=LT^{-3}\)

\(\big[\frac{da}{dt}\big]=LT\)