# A golf ball is hit off a tee a

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 = 17.0t

and

y = 4.20t − 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 ĵ. (Give the answer in terms of t.)
=

m

By taking derivatives, do the following. (Give the answers in terms of t.)

(b) obtain the expression for the velocity vector  as a function of time
=

m/s

(c) obtain the expression for the acceleration vector  as a function of time
=

m/s2

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.24 s.

 =         m =         m/s =         m/s2

# A golf ball is hit off a tee a

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 = 17.2t

and

y = 4.16t − 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 ĵ. (Give the answer in terms of t.)
=

m

By taking derivatives, do the following. (Give the answers in terms of t.)

(b) obtain the expression for the velocity vector  as a function of time
=

m/s

(c) obtain the expression for the acceleration vector  as a function of time
=

m/s2

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.

 =         m =         m/s =         m/s2

# A golf ball is hit off a tee a

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 = 17.2t

and

y = 4.16t − 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 ĵ. (Give the answer in terms of t.)
=

m

By taking derivatives, do the following. (Give the answers in terms of t.)

(b) obtain the expression for the velocity vector  as a function of time
=

m/s

(c) obtain the expression for the acceleration vector  as a function of time
=

m/s2

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.

 =         m =         m/s =         m/s2

# A golf ball is hit off a tee a

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 = 17.2t

and

y = 4.16t − 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 ĵ. (Give the answer in terms of t.)
=

m

By taking derivatives, do the following. (Give the answers in terms of t.)

(b) obtain the expression for the velocity vector  as a function of time
=

m/s

(c) obtain the expression for the acceleration vector  as a function of time
=

m/s2

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.

 =         m =         m/s =         m/s2

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