IB skill practice

Use calculus in kinematics

Connect displacement, velocity, and acceleration using differentiation in motion contexts.

Paper 2 6 marks Difficulty 2

Kinematics from displacement

A particle has displacement \(s(t)=x^{2} + 6x - 4\). At \(t=5\), find displacement, velocity, and acceleration.

Worked practice: kinematics

Evaluate displacement, velocity, and acceleration at the given time.