Amotorboat accelerates uniformly from a velocity of 6.5 m/s west to a velocity of 1.5 m/s west. if its acceleration was 2.7 m/s2 to the east, what is the displacement
of the motorboat during the acceleration?

The motorboat ends up 7.41 meters to the west of the initial position

Explanation:

Accelerated Motion

The accelerated motion describes a situation where an object changes its velocity over time. If the acceleration is constant, then these formulas apply:

The problem provides the conditions of the motorboat's motion. The initial velocity is 6.5 m/s west. The final velocity is 1.5 m/s west, and the acceleration is to the east. Since all the movement takes place in one dimension, we can ignore the vectorial notation and work with the signs of the variables, according to a defined positive direction. We'll follow the rule that all the directional magnitudes are positive to the east and negative to the west. Rewriting the formulas:

Solving the first one for t

We have

Using these values

We now compute x

The motorboat ends up 7.41 meters to the west of the initial position

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