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.
On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s.
Find the (a) magnitude and (b) direction of the initial velocity.
Express the direction as an angle with respect to the +x axis.
On a spacecraft two engines fire for a time of 532 s. One gives the craft an acceleration in the x direction of ax = 4.92 m/s2, while the other produces an acceleration in the y direction of ay = 7.16 m/s2. At the end of the firing period, the craft has velocity components of vx = 3743 m/s and vy = 4808 m/s. Calculate the magnitude of the initial velocity.
Most important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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