SPM 2021 Add Maths Paper 2, Question 12Kinematics of Linear Motion

Solution by graph sketching is not accepted. Two particles, A and B, move along a straight line. The velocity of particle A, v_A m s⁻¹, is given by v_A = 24t − 4t² − 20, while the velocity of particle B, v_B m s⁻¹, is given by v_B = 24t − 25, where t is the time, in seconds, after both particles pass the fixed point O. (a) Calculate the maximum velocity, in m s⁻¹, of particle A.

Particles A and B move along a straight line with v_A = 24t − 4t² − 20 and v_B = 24t − 25, where t is the time in seconds after both pass fixed point O. (b)(i) Find the time, in seconds, when particle A and particle B meet. (b)(ii) Find the total distance, in m, travelled by particle A in the first 5 seconds.