MY NOTES A small metal ball is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.7t and y = 4.20t - 4.90t, wherex and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.) 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.) m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s?). m/s? a (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the metal ball at t = 2.76 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s?.) v = m/s m/s?
MY NOTES A small metal ball is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.7t and y = 4.20t - 4.90t, wherex and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.) 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.) m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s?). m/s? a (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the metal ball at t = 2.76 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s?.) v = m/s m/s?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.1CYU: Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the...
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