A swan on a lake becomes airborne by flapping its wings and running on top of the water. If the swan must reach a velocity of 6.50 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s2 , what distance Δx does it travel before becoming airborne?

Respuesta :

aachen

Answer:

The distance traveled by the swan is 60.35 meters.

Explanation:

Given that,

A swan accelerate from rest (u = 0) to 6.5 m/s to take off.

Acceleration of the swan, [tex]a=0.35\ m/s^2[/tex]

We need to find the distance Δx it travel before becoming airborne. From the third equation of motion as :

[tex]\Delta x=\dfrac{v^2-u^2}{2a}[/tex]

[tex]\Delta x=\dfrac{(6.5)^2}{2\times 0.35}[/tex]

[tex]\Delta x=60.35\ m[/tex]

So, the distance traveled by the swan is 60.35 meters. Hence, this is the required solution.