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02_InstSolManual_PDF_Part20 - 2-20 Chapter 2(b At the...

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(b) At the highest point, and downward. (c) Consider the motion from the maximum height back to the ground. and gives The total time the rocket is in the air is Just before it hits the ground the rocket will have speed Reflect: We could calculate the time of free fall directly by considering the motion from the point of engine shutoff to the ground: and gives which agrees with a total time of 36.4 s. 2.82. Set Up: The velocity is the slope of the x versus t graph. The sign of the slope specifies the direction of the velocity. Solve: (a) The mouse is to the right of the origin when x is positive. This is for and for The mouse is to the left of the origin when x is negative. This is for The mouse is at the origin when 6.0 s, 8.5 s. (b) At is positive and has magnitude (c) The acceleration is not constant. For constant a the x - t graph would be a section of a parabola, and it is not. (d) The speed is greatest when the magnitude of the slope is greatest, and this is between 5.0 s and 6.0 s. The speed in this interval is During this part of the motion the velocity is negative and the mouse is moving to the left.
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