Question: As a train approached, the red lights started flashing and the traffic gates came down to block the road. A dump truck driver saw the

As a train approached, the red lights started flashing and the traffic gates came down to block the road. A dump truck driver saw the gates close, slammed on his brakes, started sliding, hit an electrical pole knocking live wires onto the road, then continued out of control toward the train tracks. Luckily he went to the other side of the road, hit an embankment and continued uphill (call this direction positive) until the truck came to a stop. Suppose the embankment has a ramp angle of 30 with a coefficient of kinetic friction k = 0.2. What is the truck's acceleration going uphill?

a. -2.4 m/s2

b. -3.2 m/s2

c. -4.7 m/s2

d. -6.6 m/s2

e. -9.8 m/s2

Suppose instead the answer to the previous problem the acceleration of4.9m/s2 and the truck had an initial velocity of 5 m/s when it started going up the embankment. How far uphill will it get, measured diagonally, before sliding to a stop?

a. 1.63 m

b. 2.55 m

c. 3.8 m

d. 4.25 m

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