Two particles are at the same point at the same time, moving in the same directi

Question

Two particles are at the same point at the same time, moving in the same direction. Particle A has an initial velocity of 7.5 m/s and an acceleration of 3.5 m/s2. Particle B has an initial velocity of 1.6 m/s and an acceleration of 5.7 m/s2.
At what time will B pass A?
Answer in units of s. Two particles are at the same point at the same time, moving in the same direction. Particle A has an initial velocity of 7.5 m/s and an acceleration of 3.5 m/s2. Particle B has an initial velocity of 1.6 m/s and an acceleration of 5.7 m/s2.
At what time will B pass A?
Answer in units of s.

Explanation / Answer

for particle A: -------------- Initial velocity u = 7.5 m / s accleration a = 3.5m / s^ 2 time t= t distance moved S = S from the relation S = ut + ( 1/ 2) at^ 2 = 7.5 t + 1.75 t^ 2 ----( 1) for particle B: --------------- Initial velocity u ' = 1.6 m / s accleration a ' = 5.7 m / s^ 2 time t ' = t distance travelled S ' = S from the relation S ' = u't' + ( 1/ 2) a' t'^ 2 = 1.6 t + 2.85 t^ 2 ---( 2) from eq( 1) and ( 2) , 7.5t + 1.75 t^ 2 = 1.6 t + 2.85 t^ 2 7.5t -1.6t = 2.85 t^ 2-1.75 t^ 2 5.9 t = 1.1t^ 2 5.9 = 1.1 t t = 5.36 s

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