At a bulk loading station, gravel leaves the hopper at the rate of \(220 \mathrm{lb} / \mathrm{sec}\) with a velocity of \(10 \mathrm{ft} / \mathrm{sec}\) in the direction shown and is deposited on the moving flatbed truck. The tractive force between the driving wheels and the road is \(380 \mathrm{lb}\), which overcomes the \(200 \mathrm{lb}\) of frictional road resistance. Determine the acceleration \(a\) of the truck 4 seconds after the hopper is opened over the truck bed, at which instant the truck has a forward speed of \(1.5 \mathrm{mi} / \mathrm{hr}\). The empty weight of the truck is \(12,000 \mathrm{lb}\).

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60 10 ft/sec I