Melaka Trial 2025 Add Maths Paper 2, Question 14Kinematics of Linear Motion

Solved on video in English · Form 5, Kinematics of Linear Motion · 5:20 video

The question

(a)

A robot moves along a straight line and passes through a fixed point O. After t seconds of moving, its displacement, s metre, is given by s = t³ − 16t² + 60t.

(a) Find the time, in seconds, when the robot passes through the fixed point O again.

(b)

A robot moves along a straight line with displacement s = t³ − 16t² + 60t metre after t seconds.

(b) Find the acceleration, in m s⁻², of the robot when t = 6 s.

(c)

(c) Find the maximum velocity, in m s⁻¹, of the robot.

Melaka Trial 2025 Add Maths Paper 2, Question 14: the question as drawn in Eduly's video5:20

Part (a)

Step 1

The robot is at O when s = 0: t³ − 16t² + 60t = 0.

2 more steps, each with the reason for it, in the full solution

Final answer

t = 6 s

Where students lose marks

Watch out: don't cancel the factor t, and choose the first return, t = 6, not t = 10.

Part (b)

3 more steps, each with the reason for it, in the full solution

Final answer

a = 4 m s⁻²

Where students lose marks

Watch out: put t = 6 into the acceleration a = 6t − 32, not into the velocity. Differentiate carefully.

Part (c)

4 more steps, each with the reason for it, in the full solution

Final answer

−76/3 ≈ −25.33 m s⁻¹

Where students lose marks

Watch out: to find the turning value of velocity, set the acceleration dv/dt = 0. Don't set v = 0.

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