An object of mass moves in a plane such that its position vector at time is .

PHYSICS · Multi-part · ISC · Physics · Kinematics · Kinematics

Problem

An object of mass

3\,\text{kg}

moves in a plane such that its position vector at time

t

\mathbf r = (2t^{3}\,\hat i + 5t^{2}\,\hat j)\,\text{m}

. (a) Obtain an expression for the instantaneous force acting on the object as a function of time. (b) Find the force at

t = 1\,\text{s}