Question 1: Two particles A and B start from rest at the origin s = 0 and move along a straight line. Particle A begins to move first with the acceleration profile of: A = (7tA - 10 cos (t)) m/s² Where to is the time in seconds after particle A begins to accelerate. 1 second after particle A begins to accelerate, particle B begins to accelerate with the function a = (t - 8)) m/s² Where to is the time in seconds after particle B has started to accelerate. Determine the absolute distance between them when t = 5s.

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**Question 1**: Two particles A and B start from rest at the origin \( s = 0 \) and move along a straight line. Particle A begins to move first with the acceleration profile of:

\[ a_A = (7t_A - 10 \times \cos(t)) \, \text{m/s}^2 \]

Where \( t_A \) is the time in seconds after particle A begins to accelerate.

1 second after particle A begins to accelerate, particle B begins to accelerate with the function:

\[ a_B = (t_B^2 - 8) \, \text{m/s}^2 \]

Where \( t_B \) is the time in seconds after particle B has started to accelerate.

**Determine the absolute distance between them when \( t_A = 5 \text{s} \).**
Transcribed Image Text:**Question 1**: Two particles A and B start from rest at the origin \( s = 0 \) and move along a straight line. Particle A begins to move first with the acceleration profile of: \[ a_A = (7t_A - 10 \times \cos(t)) \, \text{m/s}^2 \] Where \( t_A \) is the time in seconds after particle A begins to accelerate. 1 second after particle A begins to accelerate, particle B begins to accelerate with the function: \[ a_B = (t_B^2 - 8) \, \text{m/s}^2 \] Where \( t_B \) is the time in seconds after particle B has started to accelerate. **Determine the absolute distance between them when \( t_A = 5 \text{s} \).**
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