A Particle of Mass $5.7 \mathrm {~kg}$ , Initially at Rest, Experiences a Time-Varying Force

Multiple Choice

A particle of mass $5.7 \mathrm {~kg}$ , initially at rest, experiences a time-varying force, $f ( t ) = c t ^ { 2 } + h t$ , where $c = 1.3 \mathrm {~N} / \mathrm { s } ^ { 2 }$ and $h = 5.6 \mathrm {~N} / \mathrm { s }$ . What is the displacement of the particle at time $t = 4$ seconds?

A) 20 m
B) 15 m
C) 10 m
D) 25 m