   Chapter 2, Problem 30P

Chapter
Section
Textbook Problem

A speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf, vi, and Δx. (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.

(a)

To determine
Sketch the motion of the boat.

Explanation

The boat is moving in a single direction. The direction is masked in the x axis in meters. The boat has initial velocity vi at the initial position and the final velocity

(b)

To determine
The appropriate equation to calculate the acceleration.

(c)

To determine
The formula used to calculate the acceleration of the boat.

(d)

To determine
The acceleration experienced by the boat.

(e)

To determine
The time required to travel the distance.

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