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Transcribed Image Text:A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.4t and y = 3.76t - 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 stone's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.)
r =
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.)
V =
a=
m
(c) Obtain the expression for the acceleration vector a as a function of time (in m/s²).
m/s2
7
r =
m/s
(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the stone at t = 3.18 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in
m/s².)
a=
m
m/s
m/s²
D
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