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

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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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 = 17.2t

 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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