A particle of mass has velocity m s

PHYSICS · Single correct · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A particle of mass

0.40\,\text{kg}

has velocity

\mathbf{v}(t)=2 t^{3}\,\hat{i}-6 t\,\hat{j}+4\,\hat{k}

m s

^{-1}

. Determine the magnitude of the instantaneous force acting on the particle at

t = 1\,\text{s}

. (a)

2.4\,\text{N}

(b)

4.8\,\text{N}

(c)

3.4\,\text{N}

(d)

3.0\,\text{N}