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A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) ř = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time m/s (c) obtain the expression for the acceleration vector a as a function of time a = m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. m m/s a = m/s?

A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) ř = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time m/s (c) obtain the expression for the acceleration vector a as a function of time a = m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. m m/s a = m/s?

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A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) F = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time マ= m/s (c) obtain the expression for the acceleration vector a as a function of time m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. = m/s a = m/s2
Transcribed Image Text:A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) F = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time マ= m/s (c) obtain the expression for the acceleration vector a as a function of time m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. = m/s a = m/s2
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