(Solved): Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of 8 ...

Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of 85 ft/s and is increasing its speed at the rate of 15 ft/s2, whereas B has a speed of 115 ft/s and is decreasing its speed at 25 ft/s2.

 

Part A: Determine the magnitude of the relative velocity of car A with respect to car B at this instant.

 

Part B: Determine the angle ?v of vA/B (counterclockwise from the negative x axis).

Cars \( A \) and \( B \) are traveling around the circular race track. At the instant shown, \( A \) has a speed of \( 85 \mathrm{ft} / \mathrm{s} \) and is increasing its speed at the rate of \( 15 \mathrm{ft} / \mathrm{s}^{2} \), whereas \( B \) has a speed of \( 115 \mathrm{ft} / \mathrm{s} \) and is decreasing its speed at \( 25 \mathrm{ft} / \mathrm{s}^{2} \). (Figure 1) Figure 1 of 1