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.)

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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 = 17.0t

 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
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