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Chapter 3: Problem 6

Is a projectile's speed constant throughout its parabolic trajectory?

Short Answer

Expert verified
No, a projectile鈥檚 speed is not constant throughout its parabolic trajectory. The horizontal speed remains constant, but the vertical speed changes due to the effect of gravity, causing the total speed to also vary.

Step by step solution

01

Identify the Motion Components of the Projectile

Split the motion of the projectile into two independent components: horizontal (along the x-axis) and vertical (along the y-axis). The speed of the projectile will be affected differently along these two axes under the influence of gravity.
02

Understand the Effect of Gravity

Note that gravity only acts in the vertical direction, downward. It affects the object's vertical speed while leaving the horizontal speed untouched. So the vertical speed of the projectile decreases while going upwards and increases while coming downwards. On the other hand, the horizontal speed remains constant throughout.
03

Consider the Sum of the Component Speeds

The total speed of the projectile at any point is the vector sum of its two component speeds. Because these two component speeds do not remain constant simultaneously, the total speed of the projectile also varies throughout its trajectory.

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