The propeller exerts a force on the air, pushing it backwards behind the boat. At the same time, the air exerts a force on the propeller and consequently on the airboat. Forces always come in pairs of this kind, which are formalized in the next section as Newton's third law of motion. The negative answer for the acceleration in part (c) means that the airboat is slowing down.

What other forces act on the airboat? (Select all that apply.)

1. The velocity of the boat and passenger
2. the downward force of the water on the boat
3. the mass of the boat and passenger times their acceleration
4. the upward force of the water on the boat
5. the downward force of gravity on the boat

Use the worked example above to help you solve this problem. An airboat with mass 4.48 102 kg, including the passenger, has an engine that produces a net horizontal force of 8.28 102 N, after accounting for forces of resistance.
(a) Find the acceleration of the airboat.
m/s2

(b) Starting from rest, how long does it take the airboat to reach a speed of 16.3 m/s?
s

(c) After reaching that speed, the pilot turns off the engine and drifts to a stop over a distance of 50.0 meters. Find the resistance force, assuming it's constant.
N

Use the values from PRACTICE IT to help you work this exercise. Suppose the pilot, starting again from rest, opens the throttle partway. At a constant acceleration, the airboat then covers a distance of 63.4m in 12.0 s. Find the net force acting on the boat.

Image text transcribed for accessibility: The propeller exerts a force on the air, pushing it backwards behind the boat. At the same time, the air exerts a force on the propeller and consequently on the airboat. Forces always come in pairs of this kind, which are formalized in the next section as Newton's third law of motion. The negative answer for the acceleration in part (c) means that the airboat is slowing down. What other forces act on the airboat? (Select all that apply.) The velocity of the boat and passenger the downward force of the water on the boat the mass of the boat and passenger times their acceleration the upward force of the water on the boat the downward force of gravity on the boat Use the worked example above to help you solve this problem. An airboat with mass 4.48 102 kg, including the passenger, has an engine that produces a net horizontal force of 8.28 102 N, after accounting for forces of resistance. Find the acceleration of the airboat. Starting from rest, how long does it take the airboat to reach a speed of 16.3 m/s? After reaching that speed, the pilot turns off the engine and drifts to a stop over a distance of 50.0 meters. Find the resistance force, assuming it's constant. Use the values from PRACTICE IT to help you work this exercise. Suppose the pilot, starting again from rest, opens the throttle partway. At a constant acceleration, the airboat then covers a distance of 63.4m in 12.0 s. Find the net force acting on the boat.
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