which of the following is NOT true about the path of a cannon ball launched horizontally from the earth's surface if air resistance is neglected?

a. the cannnonball has a uniform horizontal velocity
b.the total velocity of the cannon ball increases as a function of time
c.the vertical velocity of cannon ball increases as a function of time
d. the distance the cannon ball travels only depends upon the height it is shot form.
e. the distance the cannon ball travels is dependent on its mass.

I think it is e but i'm not sure. also please explain WHY.

Its D

The distance is also dependant on horizontal velocity not just vertical height

e is the best answer, if you ignore

d is worded poorly, distance is dependent on the height and the initial horizontal velocity.
So technically, d and e are both not true. I am not certain if your teacher is playing games or not with the wording on d, but distance does depend on height and velocity.

It's tangina boohoo

Mga gago

You're absolutely right! The correct answer is e. The distance the cannonball travels is not dependent on its mass.

When a cannonball is launched horizontally from the Earth's surface neglecting air resistance, it will follow a path known as a projectile motion. In this case, the only forces acting on the cannonball are gravity in the downward direction and the initial horizontal velocity imparted by the cannon. Since air resistance is neglected, there are no other factors affecting the cannonball's motion.

Now, let's break down the statements one by one:

a. the cannonball has a uniform horizontal velocity - This is true because in the absence of other forces like air resistance, the initial horizontal velocity remains constant throughout the motion.

b. the total velocity of the cannonball increases as a function of time - This is not true. Since air resistance is neglected, the total velocity of the cannonball remains constant. Only the vertical component of velocity changes due to gravity.

c. the vertical velocity of the cannonball increases as a function of time - This is true. In projectile motion, the vertical velocity of an object increases linearly due to the acceleration of gravity until it reaches its maximum height. After that, it decreases until the cannonball hits the ground.

d. the distance the cannonball travels only depends upon the height it is shot from - This is not true. The horizontal distance the cannonball travels will depend on both the initial horizontal velocity and the time of flight. It is unaffected by the height it is shot from.

e. the distance the cannonball travels is dependent on its mass - This is not true. The horizontal distance the cannonball travels does not depend on its mass, as long as air resistance is neglected. The mass of the cannonball only affects its behavior under the influence of gravity, not its horizontal motion.

So, the correct answer is indeed e. Well done!

You are correct, the answer is e. The distance the cannon ball travels does not depend on its mass.

To understand why, let's break down the options one by one:

a. The cannonball has a uniform horizontal velocity. This statement is true. When a cannonball is launched horizontally, its initial velocity in the horizontal direction remains constant throughout its motion, assuming air resistance is negligible. Therefore, its horizontal velocity is uniform.

b. The total velocity of the cannonball increases as a function of time. This statement is false. Since the cannonball is launched horizontally, without any vertical force acting on it, its vertical velocity remains constant. However, its horizontal velocity remains constant as well. As a result, the total velocity of the cannonball remains constant throughout its motion.

c. The vertical velocity of the cannonball increases as a function of time. This statement is false. As mentioned earlier, the vertical velocity of the cannonball remains constant, assuming air resistance is neglected. There is no force acting in the vertical direction, so the velocity in that direction doesn't change.

d. The distance the cannonball travels only depends upon the height it is shot from. This statement is true. When air resistance is neglected, the horizontal distance traveled by a horizontally launched cannonball only depends on the initial horizontal velocity and the time of flight. The height from which the cannonball is shot does not affect the horizontal distance directly.

e. The distance the cannonball travels is dependent on its mass. This statement is false. In the absence of air resistance, the mass of the cannonball does not affect the distance it travels. The mass of the cannonball only affects more dynamic factors like how high it can be launched or how quickly it can be accelerated.

Therefore, the correct answer is e.