# Projectile motion of a fired cannon ball

• KEVIN Phlem
In summary, the cannonball, fired with an initial velocity of 100 m/s at 36.9° above the horizontal towards a vertical building 400 m away, will hit the building in 5.0 seconds. When fired horizontally from a 150-m-high cliff, the ball will also hit the building in 5.0 seconds.
KEVIN Phlem
1. A cannonball is fired toward a vertical building 400 m away
with an initial velocity of at 36.9° above the horizontal.
The ball will hit the building in
A. 4.0 s. B. 5.0 s.
C. less than 4.0 s. D. more than 5.0 s.

2. If the cannonball in the previous question is fired horizontally
from a 150-m-high cliff, but still 400 m from the building, then
the ball will hit the building in
A. 4.0 s. B. 5.0 s.
C. less than 4.0 s. D. more than 5.0 sI used x =(Vo * Cos 36.9)t and got 5.0 s, which is correct, but i don't know how to solve for #2

KEVIN Phlem said:
1. A cannonball is fired toward a vertical building 400 m away
with an initial velocity of at 36.9° above the horizontal.
The ball will hit the building in
A. 4.0 s. B. 5.0 s.
C. less than 4.0 s. D. more than 5.0 s.

2. If the cannonball in the previous question is fired horizontally
from a 150-m-high cliff, but still 400 m from the building, then
the ball will hit the building in
A. 4.0 s. B. 5.0 s.
C. less than 4.0 s. D. more than 5.0 sI used x =(Vo * Cos 36.9)t and got 5.0 s, which is correct, but i don't know how to solve for #2
What is the horizontal component of velocity in this case?

By the way: What is the value of V0 ?

100 m/s, sorry

KEVIN Phlem said:
100 m/s, sorry

SammyS said:
The first one.

KEVIN Phlem said:
The first one.
KEVIN Phlem said:
The first one.
In that case it must have answered both.

V0 is the horizontal component if it fired horizontally.

## What is projectile motion?

Projectile motion is the motion of an object through the air under the influence of gravity. It follows a curved path known as a parabola.

## What factors affect the trajectory of a fired cannon ball?

The trajectory of a fired cannon ball is affected by the initial velocity, angle of launch, air resistance, and the force of gravity.

## How does the angle of launch affect the distance traveled by a fired cannon ball?

The angle of launch plays a crucial role in determining the distance traveled by a fired cannon ball. The optimal angle for maximum distance is 45 degrees.

## What is the equation for calculating the distance traveled by a fired cannon ball?

The equation for calculating the distance traveled by a fired cannon ball is d = (v²sin2θ)/g, where d is the distance, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

## How does air resistance affect the trajectory of a fired cannon ball?

Air resistance can greatly affect the trajectory of a fired cannon ball, especially at higher velocities. It causes the cannon ball to lose speed and deviate from its expected path, resulting in a shorter distance traveled.

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