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.
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
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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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, isy = y0 + vy0t −
gt2 =
m/s
t
1 |
2 |
+
m/s2
t2.
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