6%) Problem 1: A swan on a lake gets airborne by flapping its wings and running

Question

6%) Problem 1: A swan on a lake gets airborne by flapping its wings and running on top of the water. 50% Part (a) If the swan must reach a speed of 4.9 m/s to take off and it accelerates from rest at a constant rate of 043 m/s, how far, in meters, will it travel before becoming airborne? Grade Summary d- 0% 100% Potential Attempts remaining: 10 (3% per attempt) detailed view cotan0 sin acos0 atan0 acotan0 sinh0 coshO tanh cotanh0 O Degrees Radians SubmitHMint Hints: 1% deduction per hint. Hints remaining: 2 Feedback: deduction per feedback 50% Part (b) How long will that take, in seconds?

Explanation / Answer

Part (a) : How far will it travel before becoming airbone?

using equation of motion 3, we have

v2 = v02 + 2 a d

where, v0 = initial speed of swan = 0 m/s

a = constant acceleration = 0.43 m/s2

v = final speed of swan = 4.9 m/s

then, we get

(4.9 m/s)2 = (0 m/s)2 + 2 (0.43 m/s2) d

d = [(24.01 m2/s2) / (0.86 m/s2)]

d = 27.9 m

Part (b) : How long will that take?

using equation of motion 1 & we get

v = v0 + a t

(4.9 m/s) = (0 m/s) + (0.43 m/s2) t

t = [(4.9 m/s) / (0.43 m/s2)]

t = 11.3 s

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