A motorboat accelerates uniformly from a velocity of 6.5 m/s to the west to a velocity of 1.5 m/s to the west. If its acceleration was 2.7 m/s2 to the east, how far did it travel during the acceleration?

Respuesta :

Answer:

7.407 m

Explanation:

Let the west direction is positive so the east direction is taken as negative.

initial velocity, u = 6.5 m/s

Final velocity, v = 1.5 m/s

acceleration, a = - 2.7 m/s^2

Let it travels a distance s during this acceleration.

Use third equation of motion, we get

[tex]v^{2}=u^{2}+2as[/tex]

[tex]1.5^{2}=6.5^{2}-2\times2.7 \times s[/tex]

[tex]2.25=42.25-5.4s[/tex]

s = 7.407 m

Thus, the distance traveled is 7.407 m.

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