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 \( x = 17.8t \) and \( y = 4.28t - 4.90t^2 \), where \( x \) and \( y \) are in 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 \( \hat{i} \) and \( \hat{j} \). (Give the answer in terms of \( t \).)\[\vec{r} = \boxed{}\]### By taking derivatives, do the following.### (b)Obtain the expression for the velocity vector \( \vec{v} \) as a function of time (in m/s). (Give the answers in terms of \( t \).)\[\vec{v} = \boxed{}\]### (c)Obtain the expression for the acceleration vector \( \vec{a} \) as a function of time (in m/s\(^2\)).\[\vec{a} = \boxed{}\]### (d)Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at \( t = 2.73 \, \text{s}. \) (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s\(^2\).)\[\vec{r} = \boxed{}\]\[\vec{v} = \boxed{}\]\[\vec{a} = \boxed{}\]

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Description: 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 \( x = 17.8t \) and \( y = 4.28t - 4.90t^2 \), where \( x \) and \( y \) are in meters and \( t \) is in seconds. (Do not inc

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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 = 17.8t and y = 4.28t - 4.90t2, where x and y are in 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 j. (Give the answer in terms of t.) r = m 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/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). 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 = 17.8t and y = 4.28t - 4.90t2, where x and y are in 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 j. (Give the answer in terms of t.) r = m 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/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). 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 \( x = 17.8t \) and \( y = 4.28t - 4.90t^2 \), where \( x \) and \( y \) are in 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 \( \hat{i} \) and \( \hat{j} \). (Give the answer in terms of \( t \).)

\[
\vec{r} = \boxed{}
\]

### By taking derivatives, do the following.

### (b)
Obtain the expression for the velocity vector \( \vec{v} \) as a function of time (in m/s). (Give the answers in terms of \( t \).)

\[
\vec{v} = \boxed{}
\]

### (c)
Obtain the expression for the acceleration vector \( \vec{a} \) as a function of time (in m/s\(^2\)).

\[
\vec{a} = \boxed{}
\]

### (d)
Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at \( t = 2.73 \, \text{s}. \) (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s\(^2\).)

\[
\vec{r} = \boxed{}
\]

\[
\vec{v} = \boxed{}
\]

\[
\vec{a} = \boxed{}
\]

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