A speedboat travels in a straight line and increases in speed uniformly from υ i = 20.0 m/s to υ f = 30.0 m/s in displacement Δ x of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of υ i , υ f , and Δ x . (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
A speedboat travels in a straight line and increases in speed uniformly from υ i = 20.0 m/s to υ f = 30.0 m/s in displacement Δ x of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of υ i , υ f , and Δ x . (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
Solution Summary: The author explains that the coordinate system for the given situation is used to show the position of the points on the axis.
A speedboat travels in a straight line and increases in speed uniformly from υi = 20.0 m/s to υf = 30.0 m/s in displacement Δx of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of υi, υf, and Δx. (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
Which of the following best describes how to calculate the average acceleration of
any object?
Average acceleration is always halfway between the initial acceleration of an
object and its final acceleration.
Average acceleration is always equal to the change in velocity of an object
divided by the time interval.
Average acceleration is always equal to the displacement of an object divided by
the time interval.
Average acceleration is always equal to the change in speed of an object divided
by the time interval.
The figure shows the velocity versus time graph for a car driving on a straight road.
Which of the following best describes the acceleration of the car?
v (m/s)
t(s)
The acceleration of the car is negative and decreasing.
The acceleration of the car is constant.
The acceleration of the car is positive and increasing.
The acceleration of the car is positive and decreasing.
The acceleration of the car is negative and increasing.
Which figure could represent the velocity versus time graph of a motorcycle
whose speed is increasing?
v (m/s)
v (m/s)
t(s)
t(s)
Essentials of Human Anatomy & Physiology (12th Edition)
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