MathCastle
CalculusMediumThe Derivative

The Derivative · Medium problem

A robotic arm's joint angle is θ(t)=t2sin⁡t\theta(t)=t^2\sin t (radians, tt in seconds). The arm passes back through its home position (θ=0\theta=0) at t=πt=\pi. Which describes its motion at that instant?