Problem $15\mathrm{.}37$

Part A

If the car is initially at rest and the truck is coasting with a velocity of $\backslash (30\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash )$ when the cable is slack, determine the common velocity of the truck and the car just after the cable becomes taut.

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

The $\backslash (3\mathrm{.}3-\backslash$mathrm$\{$Mg$\}\backslash )$ pickup truck is towing the $\backslash (1\mathrm{.}7-\backslash$mathrm$\{$Mg$\}\backslash )$ car using a cable as shown. $($Figure $1)$

Figure