# When a projectile is fired horizontally, which of the components of its motion is

(A) motion at constatnt speed
(B) uniformly accelerated motion
(C) If the initial velocity of the projectile is increased, what effect will this have on the time it takes the projectile to fall to the ground?

THIS IS FOR A PROJECT. SOMEONE PLEASE EXPLAIN CLEARLY AND ASAP! THANK YOU SO MUCH!

(a) horizontal velocity
(b) vertical velocity
(c) depending on if it is shot at an angle or not, it wont, if it is shot at an angle increasing the velocity would cause it to fall longer

## a)the horizontal motion will be at a constant speed because there is no velocity and velocity change because it doesnt change direction and when we cancel up the final and inititial speed the difference is ZERO

b)the vertical mtion will be at uniformly accelerated motion because there is velocity and change in velocity because there is change in direction when the object is moving veryicallly upward and downward and the change in velocity is constant at any piont

c)it depends ao the angle of the initial velocity when it is released. if th e anngle is small, the object will fall sooner amd if it is large, it will have more flight time and will fall after a longer period. Am I right? sorry for asking after all this answers.

## When a projectile is fired horizontally, its motion can be broken down into two components:

(a) The horizontal velocity remains constant throughout the motion. This means that the projectile continues to move at a constant speed horizontally, regardless of the time or distance traveled vertically.

(b) The vertical velocity undergoes uniformly accelerated motion due to the force of gravity. This means that the projectile will accelerate downwards due to gravity at a rate of 9.8 m/s^2 (assuming no air resistance). The vertical velocity will change over time, resulting in the projectile falling towards the ground.

(c) If the initial velocity of the projectile is increased, it will not affect the time it takes for the projectile to fall to the ground when it is fired horizontally. This is because the time of flight is determined by the vertical motion, which is independent of the horizontal velocity. The increase in velocity only affects how far the projectile travels horizontally before hitting the ground.

However, if the projectile is fired at an angle rather than horizontally, increasing the initial velocity will have an effect on the time it takes to fall to the ground. A higher initial velocity will result in a longer time of flight as the projectile covers a greater horizontal distance during its fall under the influence of gravity.

## To understand the components of motion for a horizontally fired projectile, let's break it down:

(A) Motion at constant speed: When the projectile is fired horizontally, the vertical component of its motion is influenced by gravity, while the horizontal component remains constant. This means that the projectile will continue moving horizontally at the same speed throughout its trajectory.

The component of motion that remains constant in this case is the (a) horizontal velocity. Regardless of how far the projectile travels or how much time passes, its horizontal velocity remains the same.

(B) Uniformly accelerated motion: In the case of a horizontally fired projectile, the vertical component of its motion is subject to gravity, which causes it to accelerate downwards. The acceleration due to gravity is approximately 9.8 m/s^2. This means that the vertical velocity of the projectile changes over time.

The component of motion that experiences uniform acceleration is the (b) vertical velocity. As time progresses, the vertical velocity of the projectile increases due to the acceleration caused by gravity.

(C) If the initial velocity of the projectile is increased, the effect on the time it takes the projectile to fall to the ground depends on whether the projectile is shot at an angle or if it is purely horizontal.

If the projectile is fired purely horizontally, increasing its initial velocity will not affect the time it takes to fall to the ground. This is because the vertical motion is determined solely by gravity, and the horizontal velocity does not impact the time of flight.

However, if the projectile is fired at an angle, increasing the initial velocity will result in a longer time of flight. This is because the increased initial velocity allows the projectile to travel a greater horizontal distance before reaching the ground.

To calculate the time it takes for a projectile to fall to the ground when fired at an angle, you can use the following formula:

t = (2 × v₀ × sin(θ)) / g

where:
t = time of flight
v₀ = initial velocity (magnitude)
θ = launch angle
g = acceleration due to gravity (approximately 9.8 m/s^2)

By plugging in different values for the initial velocity and launch angle, you can determine how changing these variables affects the time it takes for the projectile to fall.