A particle of mass is acted upon by a force given by the empirical law

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

A particle of mass

m

is acted upon by a force

F

given by the empirical law

F = \frac{R}{t^2} v(t)

. If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot : (1)

\log v(t)

against

\frac{1}{t}

(2)

v(t)

against

t^2

(3)

\log v(t)

against

\frac{1}{t^2}

(4)

\log v(t)

against

t