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Edexcel IGCSE Math A Higher 3.4.HE calculus in kinematics

Edexcel IGCSE Math A Higher 3.4.HE calculus in kinematics
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise kinematics-calculus questions by differentiating displacement to get velocity and differentiating again for acceleration.

How this is tested

  • Differentiate s(t) to find velocity at a given time or when a condition is met.
  • Differentiate velocity to find acceleration and interpret the time value in context.
  • Solve equations from velocity or acceleration conditions using the allowed time range.

Question 18

A particle is moving along a straight line that passes through the fixed point O The displacement, s metres, of the particle from O at time t seconds is given by

s=2t3−5t2+6t−5s=2 t^{3}-5 t^{2}+6 t-5

Find the value of t when the acceleration of the particle is 5 m/s25 \mathrm{~m} / \mathrm{s}^{2}

t=