Since the ball was launched horizontally, we know the vertical component of the initial velocity must be zero. Therefore, vy,o = 0 and vz,0 = Vo. This reduces the projectile motion equations to: y = -}gt x = v,t. and (Keep the negative sign on the right hand side of the first equation, since your measurement of y is negative.) Eliminate the unknown t between these two equations, and obtain an expression for v, in terms of x, y, and g.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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I keep trying to combine these equations but whenever I do so I get a negative in the square root. Please help.

Since the ball was launched horizontally, we know the vertical component of the initial velocity
must be zero. Therefore, vy,o = 0 and vz,0 = Vo. This reduces the projectile motion equations
to:
y = -}gt
x = v,t.
and
(Keep the negative sign on the right hand side of the first equation, since your measurement of
y is negative.) Eliminate the unknown t between these two equations, and obtain an expression
for v, in terms of x, y, and g.
Transcribed Image Text:Since the ball was launched horizontally, we know the vertical component of the initial velocity must be zero. Therefore, vy,o = 0 and vz,0 = Vo. This reduces the projectile motion equations to: y = -}gt x = v,t. and (Keep the negative sign on the right hand side of the first equation, since your measurement of y is negative.) Eliminate the unknown t between these two equations, and obtain an expression for v, in terms of x, y, and g.
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