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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcee20c3-ab62-40bc-917a-95709da62e3c%2Fc6f08456-71c3-4c67-a60f-31afe8edefdf%2For8iqw_processed.png&w=3840&q=75)
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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