At the instant shown in $($Figure $1),$ the car at $A$ is traveling at $10\frac{m}{s}$ around the curve while increasing its speed at $4\mathrm{.}9\frac{m}{s^2}.$ The car at $B$ is traveling at $27\mathrm{.}5\frac{m}{s}$ along the straightaway and increasing its speed at $2\frac{m}{s^2}.$

Part A

Determine the magnitude of the relative velocity of A with respect to $B$ at this instant.

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

$v_{\frac{A}{B}}=$

Part B

Determine the direction angle of the relative velocity with respect to $B$ at this instant, measured counterclockwise from the positive $x$ axis.

Express your answer in degrees using three significant figures.

View Available Hint$($s$)$

$=$

Figure

$1$ of $1$

Part C

Determine the magnitude of the relative acceleration of A with respect to $B$ at this instant.

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

$a_{\frac{A}{B}}=$