A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 26 m/s.    How do the vertical and horizontal components of the projectile's velocity vary with time?The initial velocity in the x-direction vx0 is related to the initial speed by vx0 = v0 cos 30°. The constant velocity in the x-direction means that the equation describing the time dependence of x for the particle, with x0 taken as 0, is x = x0 + vx0t = 0 +       m/s    t. The equation for the vertical coordinate, which is constantly accelerating downward at g = 9.8 m/s2, is y = y0 + vy0t −  1 2 gt2 =      m/s    t +      m/s2    t2.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 26 m/s.

 

 How do the vertical and horizontal components of the projectile's velocity vary with time?

The initial velocity in the x-direction vx0 is related to the initial speed by

vx0 = v0 cos 30°.

The constant velocity in the x-direction means that the equation describing the time dependence of x for the particle, with x0 taken as 0, is

x = x0 + vx0t = 0 + 
 
   m/s
 
 t.
The equation for the vertical coordinate, which is constantly accelerating downward at g = 9.8 m/s2, is
y = y0 + vy0t − 
1
2
gt2 = 
 
  m/s
 
 t
 
  m/s2
 
 t2.
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