1. Rearrange the expression (y = 1/2 gt2) to obtain an expression for time t. 2. Going back to the knowledge of kinematics, write an expression for the range of the  projectile (∆x = xf - x0 =x) in terms of the initial horizontal velocity v and time t. 3. Use the results in (1) and (2) to find an expression for the velocity of efflux v in terms of  x, y, and g.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section: Chapter Questions
Problem 17PQ: A If the vector components of a particles position moving in the xy plane as a function of time are...
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1. Rearrange the expression (y = 1/2 gt2) to obtain an expression for time t.

2. Going back to the knowledge of kinematics, write an expression for the range of the 
projectile (∆x = xf - x0 =x) in terms of the initial horizontal velocity v and time t.

3. Use the results in (1) and (2) to find an expression for the velocity of efflux v in terms of 
x, y, and g.

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