   Chapter 3, Problem 5CQ

Chapter
Section
Textbook Problem

A projectile is launched with speed v0 at an angle θ0 above the horizon. Its motion is described in terms of position, velocity, and acceleration: x, y, vx, vy, ax, ay, respectively, (a) Which of those quantities are constant during the motion? (b) Which are equal to zero throughout the motion? Ignore any effects of air resistance.

(a)

To determine
The quantities that are constant during projectile motion.

Explanation

During a projectile motion, the components of the velocity act independently. The velocity in the horizontal direction does not have any relation to the velocity in the vertical direction.

The variables given are,

Here,

x is the position of the particle in the horizontal direction

y is the position of the particle in the vertical direction

vx is the velocity of the particle in the horizontal direction

vy is the velocity of the particle in the vertical direction

ax is the acceleration of the particle in the horizontal direction

ay is the acceleration of the particle in the vertical direction

The acceleration of the particle in the horizontal direction is zero, while the acceleration in the vertical direction is equal to the acceleration due to gravity.

Conclusion:

The velocity in the horizontal direction for a projectile motion is a constant

(b)

To determine
The quantities that are zero during the projectile motion.

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