A pitching machine throws the $\backslash (0\mathrm{.}5-\backslash$mathrm$\{$kg$\}\backslash )$ bal toward the wall with an initial velocity $\backslash ($ v$\_\{$A$\}=12\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ as shown. Suppose that the coefficient of restitution $\backslash ($ e$=0\mathrm{.}5,$ a$=3\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash )\backslash ($ h$=1\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash ).($Figure $1)$

Determine the magnitude of the velocity at which it strikes the wall at $\backslash ($ B $\backslash ).$

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

Incorrect; Try Again; $3$ attempts remaining

Part B

Determine the angle between the $\backslash ($ x $\backslash )$ axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive $\backslash ($ x $\backslash )$ axis.

Express your answer using three significant figures.

$\backslash (\backslash$square $\backslash$mathrm$\{$V$\}\backslash )$

$\backslash [$

$\backslash$theta$\_\{1\}=$

$\backslash ]$

Requast Answer

Part C

Determine the magnitude of the velocity at which it rebounds from the wall.

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

Part D

Determine the angle between the $\backslash ($ x $\backslash )$ axis and the velocity at which the ball rebounds from the wall, measured clockwise from the negative $\backslash ($ x $\backslash )$ axis. Express your answer using three significant figures.

$\backslash [$

$\backslash$left$($v$\_\{$B$\}\backslash$right$)\_\{2\}=$

$\backslash ]$