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A sperm whale can accelerate at about 0.120 m/s 2 0.120 m/s2 when swimming on the surface of the ocean. How far will a sperm whale travel if it starts at a speed of 1.10 m/s 1.10 m/s and accelerates to a speed of 2.05 m/s 2.05 m/s ? Assume the whale travels in a straight line.

Respuesta :

Answer:

The distance traveled by the sperm whale is 12.46 meters.

Explanation:

Given that,

Acceleration of a sperm whale, [tex]a=0.12\ m/s^2[/tex]

Initial speed of the whale, u = 1.1 m/s

Final speed of the whale, v = 2.05 m/s

We need to find the distance traveled by the sperm whale. It can be calculated using third equation of motion as :

[tex]v^2-u^2=2ad[/tex]

d is the distance covered

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

[tex]d=\dfrac{(2.05)^2-(1.1)^2}{2\times 0.12}[/tex]

d = 12.46 meters

So, the distance traveled by the sperm whale is 12.46 meters. Hence, this is the required solution.

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