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8. DETAILS m A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 18.5t and y = 3.96t 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.) 7 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= m/s MY NOTES (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s2 ASK YOUR TEACHER

8. DETAILS m A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 18.5t and y = 3.96t 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.) 7 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= m/s MY NOTES (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s2 ASK YOUR TEACHER

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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8. DETAILS r = A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 18.5t and y = 3.96t 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.) By taking derivatives, do the following. (b) Obtain the expression for the velocity vector as a function of time (in m/s). (Give the answers in terms of t.) V= a = (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² m r = (d) Next, : unit-vect notatic write expressions for velocity is in m/s and the acceleration is in m/s².) V = m/s a m m/s MY NOTES m/s² ASK YOUR TEACHER position, velocity, and the acceleration of the stone at t= 3.18 s. (Assume the position is in m, the
Transcribed Image Text:8. DETAILS r = A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 18.5t and y = 3.96t 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.) By taking derivatives, do the following. (b) Obtain the expression for the velocity vector as a function of time (in m/s). (Give the answers in terms of t.) V= a = (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² m r = (d) Next, : unit-vect notatic write expressions for velocity is in m/s and the acceleration is in m/s².) V = m/s a m m/s MY NOTES m/s² ASK YOUR TEACHER position, velocity, and the acceleration of the stone at t= 3.18 s. (Assume the position is in m, the
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