(a) What are the coordinates of the initial position of the stone? x0 = m y0 = m (b) What are the components of the initial velocity? v0x = m/s v0y = m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx = vy =

(a) What are the coordinates of the initial position of the stone? x0 = m y0 = m (b) What are the components of the initial velocity? v0x = m/s v0y = m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx = vy =

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...

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Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
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An ant travels 3.95 inches due east, then turns and travels an additional 3.35 inches south. The ant walked east for 2.25 minutes and south for 3.15 minutes. a) What is the ant's average speed over the entire trip in the given units? O 1.35 inches/minute O 1.76 inches/minute O1.06 inches/minute O 2.32 inches/minute O 3.24 inches/minute b) What is the ant's average speed over the entire trip in Sl units? 3,190 m/s 2.06 m/s O 0.000572 m/s
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v = 17.5 m/s. The cliff is h = 24.0 m above a flat, horizontal beach as shown in the figure. х (a) What are the coordinates of the initial position of the stone? m Хо- = m Уо - (b) What are the components of the initial velocity? m/s Vox = m/s Voy (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.)
= A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 16.8t and y meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.) r= By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) m (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² II m/s to || (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the polo ball at t = 2.85 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s².) 3 3.72t - 4.90t2, where x and y are in m/s m/s²
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