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(a) Find the acceleration of the airboat. ___________m/s 2 (b) Starting from res

ID: 777277 • Letter: #

Question

(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

d) Suppose the pilot, starting again from rest, opens the throttle partway. At a constant acceleration, the airboat then covers a distance of 64.0 m in 11.9 s. Find the net force acting on the boat.

_________________ N

Explanation / Answer

a) F = ma

a = F/m = 828/438 = 1.9 m/s2

b) v = u + at

16.3 = 0 +1.9*t

t = 8.62 s

c) v^2 - u^2 = 2aS

0 - 16.3^2 = 2*a*50

a = -2.66 m/s2

Resistance force = ma = 438*2.66 = 116372 N

d) S = ut + 0.5at^2

64 = 0 + 0.5*a*11.9^2

a = 0.9 m/s2

F = ma = 438*0.9 = 395.9 N